{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1 导入必要的包"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt \n",
    "import copy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2 创建数据集"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "根据题目创建一个包含3个类簇的数据集\n",
    "\n",
    "蓝色点个数约为20个，红色点个数约为200个，绿色点个数约为30个\n",
    "\n",
    "不同题目使用的数据集不同，方法相同，根据需要运行相应数据集生成代码"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 第一题"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = np.random.uniform(-5,-3,20)\n",
    "b = np.random.uniform(-1,1,20)\n",
    "cluster1 = np.array([[x, y] for x, y in zip(a,b)])\n",
    "\n",
    "a = np.random.uniform(-2.5,2.5,200)\n",
    "b = np.random.uniform(-2.5,2.5,200)\n",
    "cluster2 = np.array([[x, y] for x, y in zip(a,b)])\n",
    "\n",
    "a = np.random.uniform(3,5,30)\n",
    "b = np.random.uniform(-1,1,30)\n",
    "cluster3 = np.array([[x, y] for x, y in zip(a,b)])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- 第二题"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = np.random.uniform(5,7,20)\n",
    "b = np.random.uniform(0.5,2.5,20)\n",
    "cluster1 = np.array([[x, y] for x, y in zip(a,b)])\n",
    "\n",
    "a = np.random.uniform(-3,3,200)\n",
    "b = np.random.uniform(-3,3,200)\n",
    "cluster2 = np.array([[x, y] for x, y in zip(a,b)])\n",
    "\n",
    "a = np.random.uniform(5,7,30)\n",
    "b = np.random.uniform(-2.5,-0.5,30)\n",
    "cluster3 = np.array([[x, y] for x, y in zip(a,b)])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "合并三个簇为一个完整的数据集"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset = np.append(np.append(cluster1,cluster2, axis=0),cluster3, axis=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可视化数据集(未分类)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in dataset:\n",
    "    plt.scatter(i[0], i[1],c='black', s=10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3 随机生成聚类中心"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = np.random.uniform(min(dataset.T[0]),max(dataset.T[0]),3)\n",
    "b = np.random.uniform(min(dataset.T[1]),max(dataset.T[1]),3)\n",
    "center = np.array([[x, y] for x, y in zip(a,b)])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "聚类中心可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-2.9900775135250544, 2.944134762173567)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "color_map=['blue','red','green']\n",
    "marker_map=['s','o','v']\n",
    "for i,cet in enumerate(center):\n",
    "    plt.scatter(cet[0], cet[1],c=color_map[i],marker=marker_map[i])\n",
    "plt.xlim(min(dataset.T[0]),max(dataset.T[0]))\n",
    "plt.ylim(min(dataset.T[1]),max(dataset.T[1]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4 生成距离矩阵"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "计算距离矩阵，根据KMeans定义，需逐个计算现有点与三个中心点的欧式距离\n",
    "\n",
    "现有中心矩阵(3,2)，三个点（每个点有各自的横纵坐标）；\n",
    "\n",
    "点矩阵(250,2)，生成的250个点；\n",
    "\n",
    "目标是(250*3)的距离矩阵，250个点分别与3个中心的距离。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "利用python广播机制，求欧式距离（纯矩阵计算，不使用循环）\n",
    "\n",
    "$dist(X,Y) = \\sqrt {\\sum\\limits_{i = 1}^d {|{x_i} - {y_i}{|^2}} }$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_distances(center, dataset):\n",
    "    num_center = center.shape[0]\n",
    "    num_dataset = dataset.shape[0]  # 250\n",
    "\n",
    "    # (3, 250) 全0\n",
    "    dists = np.zeros((num_center,num_dataset))  \n",
    "\n",
    "    # (3, 250) = (3, 250) + (3, 1) 列广播，同行每列都加相同数值\n",
    "    dists += np.sum(center**2, axis=1).reshape(num_center,1)\n",
    "\n",
    "    # (3, 250) = (3, 250) + (1, 250) 行广播，同列每行都加相同数值\n",
    "    dists += np.sum(dataset**2,axis=1).reshape(1,num_dataset)\n",
    "\n",
    "    # (3, 250) = (3, 250) - 2* (3, 2) * (2, 250) 矩阵点乘\n",
    "    dists -= 2*np.dot(center, dataset.T)\n",
    "    dists = np.sqrt(dists)\n",
    "    \n",
    "    return dists.T  # 返回250行，3列的距离矩阵，转置后比较符合直觉"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "计算每个点到每个中心的距离矩阵 `dists`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1.48209638, 3.52558067, 1.98107862],\n",
       "       [1.67983114, 3.33218443, 1.75620658],\n",
       "       [0.90779729, 3.52564666, 2.34856454],\n",
       "       [2.24136207, 4.41449265, 2.86237701],\n",
       "       [1.95954797, 4.00140726, 2.4395811 ],\n",
       "       [2.08459151, 3.54929861, 1.9825093 ],\n",
       "       [1.62510624, 4.10583119, 2.66989134],\n",
       "       [1.46198726, 3.36369526, 1.80564397],\n",
       "       [1.77308055, 3.52998155, 1.95507935],\n",
       "       [1.56992802, 3.3951703 , 1.82743948],\n",
       "       [0.97634251, 3.51947624, 2.17027003],\n",
       "       [0.82584782, 3.44644291, 2.23726284],\n",
       "       [0.34056726, 2.82095613, 1.54512441],\n",
       "       [1.40529875, 3.51257771, 1.98138654],\n",
       "       [0.40096883, 2.9594149 , 1.70023207],\n",
       "       [1.35339058, 3.42901537, 1.89658337],\n",
       "       [0.61553206, 2.78310076, 1.37775198],\n",
       "       [0.78575865, 3.40109111, 2.24167155],\n",
       "       [1.07143629, 2.57344341, 1.02773168],\n",
       "       [1.60124451, 2.84510953, 1.2730342 ],\n",
       "       [4.67883505, 3.24979718, 4.51956506],\n",
       "       [4.21188769, 1.64625197, 2.92284625],\n",
       "       [5.82141833, 4.71972691, 5.89137536],\n",
       "       [5.83445069, 3.93553995, 5.4088018 ],\n",
       "       [8.06825754, 5.96263303, 7.50903765],\n",
       "       [2.97447252, 0.39303701, 1.96902063],\n",
       "       [7.47405005, 5.52909538, 7.03383651],\n",
       "       [6.39599073, 4.63161237, 6.07007775],\n",
       "       [2.64316164, 2.3000789 , 2.9100856 ],\n",
       "       [8.5245301 , 6.14190344, 7.71789698],\n",
       "       [6.05447824, 3.62422888, 5.19994999],\n",
       "       [7.63520902, 5.16919264, 6.73752086],\n",
       "       [7.02722176, 5.36307346, 6.77626555],\n",
       "       [7.5241938 , 5.16603679, 6.74241714],\n",
       "       [2.60018488, 0.61362059, 1.89575473],\n",
       "       [2.56104348, 0.93629502, 2.05432438],\n",
       "       [5.67113548, 3.06708583, 4.39677304],\n",
       "       [4.76396927, 2.88093973, 4.32589475],\n",
       "       [3.9914586 , 1.54901604, 3.12363773],\n",
       "       [2.57641067, 1.9387826 , 2.65915961],\n",
       "       [7.7471874 , 5.74730789, 7.26819346],\n",
       "       [3.86854289, 1.89338324, 3.33603702],\n",
       "       [5.77932313, 3.93408955, 5.38930811],\n",
       "       [7.17759979, 6.13761696, 7.31140578],\n",
       "       [7.33065992, 5.17508109, 6.72797368],\n",
       "       [4.35075425, 3.80257062, 4.67086143],\n",
       "       [6.92326966, 4.9672905 , 6.47048314],\n",
       "       [5.68839279, 3.12902174, 4.67398954],\n",
       "       [5.28557125, 4.10499425, 5.29427589],\n",
       "       [7.66855154, 5.61554379, 7.14868438],\n",
       "       [4.48564464, 3.33680544, 4.4804618 ],\n",
       "       [3.91952045, 1.4073868 , 2.98292112],\n",
       "       [5.98094441, 3.58643872, 5.16287001],\n",
       "       [3.2807044 , 2.90076631, 3.61244056],\n",
       "       [5.22233371, 4.1935412 , 5.3158302 ],\n",
       "       [7.37292111, 5.69747287, 7.11860205],\n",
       "       [5.16831034, 2.79891485, 4.37272634],\n",
       "       [5.62241607, 3.62724437, 5.12623358],\n",
       "       [6.57191101, 5.73119334, 6.80738341],\n",
       "       [1.99914379, 1.55009778, 2.01835041],\n",
       "       [7.44831   , 6.55087521, 7.66785707],\n",
       "       [4.8065103 , 2.84041376, 4.31428738],\n",
       "       [6.4711887 , 4.50697744, 6.00799052],\n",
       "       [2.33412162, 1.08816946, 1.97281575],\n",
       "       [3.42833134, 2.12572132, 3.26068903],\n",
       "       [6.31144599, 4.44429171, 5.91462522],\n",
       "       [5.12856591, 2.69404365, 4.27049131],\n",
       "       [6.04822585, 4.27357601, 5.71004582],\n",
       "       [2.63724355, 2.49274745, 3.01661915],\n",
       "       [6.39039765, 5.34597748, 6.50681931],\n",
       "       [5.88687164, 4.0345561 , 5.49389306],\n",
       "       [4.58701172, 2.18508404, 3.75936149],\n",
       "       [2.03786881, 2.31764479, 2.54590835],\n",
       "       [7.51500912, 5.18906052, 6.76428499],\n",
       "       [4.17415694, 3.18782553, 4.24370421],\n",
       "       [4.18013469, 1.7844609 , 3.35537504],\n",
       "       [7.74059256, 5.3636196 , 6.94002878],\n",
       "       [5.99574392, 4.66019137, 5.93263139],\n",
       "       [3.39197968, 0.96424201, 2.52776851],\n",
       "       [7.66139667, 6.42244916, 7.68531823],\n",
       "       [7.90899616, 5.6491449 , 7.21950045],\n",
       "       [7.6959373 , 5.27945535, 6.85413102],\n",
       "       [4.2111595 , 1.61419129, 2.96449526],\n",
       "       [3.92671065, 2.56757126, 3.76834342],\n",
       "       [7.23196341, 5.51402486, 6.94777117],\n",
       "       [6.1171461 , 4.88911221, 6.12072961],\n",
       "       [4.36025524, 1.87234583, 3.00182381],\n",
       "       [8.08153321, 5.73446575, 7.31080498],\n",
       "       [5.67703164, 3.24627001, 4.82239837],\n",
       "       [5.24865228, 3.48439136, 4.90100718],\n",
       "       [4.61513196, 3.14046848, 4.42604237],\n",
       "       [3.61222738, 2.2786239 , 3.44426742],\n",
       "       [3.50279778, 1.02498643, 2.599066  ],\n",
       "       [4.28456662, 1.77111123, 2.94653015],\n",
       "       [6.24267882, 3.64211428, 5.14108088],\n",
       "       [3.89498992, 3.24769626, 4.13340367],\n",
       "       [7.93158544, 6.10754093, 7.5813089 ],\n",
       "       [4.33433865, 3.3221956 , 4.39861452],\n",
       "       [6.86151174, 5.35084532, 6.70695911],\n",
       "       [6.47012845, 4.56823339, 6.05115704],\n",
       "       [7.02422286, 5.21053638, 6.67278911],\n",
       "       [7.67922598, 5.61026839, 7.14707474],\n",
       "       [4.6914013 , 3.26386183, 4.53353851],\n",
       "       [2.99430239, 2.81005494, 3.40138912],\n",
       "       [2.22532114, 1.25065228, 1.99204168],\n",
       "       [6.66209201, 5.79683221, 6.88571415],\n",
       "       [5.71457432, 3.69333374, 5.20110026],\n",
       "       [7.23142957, 5.93406409, 7.21407626],\n",
       "       [2.61423924, 1.93957957, 2.68330543],\n",
       "       [5.48823703, 3.95440417, 5.29214868],\n",
       "       [4.4720323 , 1.85198133, 3.28821806],\n",
       "       [4.94781539, 3.95001217, 5.04866734],\n",
       "       [7.68259079, 6.6836372 , 7.84780603],\n",
       "       [2.79545217, 2.8268019 , 3.29621371],\n",
       "       [5.55688449, 2.94550002, 4.30383512],\n",
       "       [5.04788743, 3.61698751, 4.90130105],\n",
       "       [4.13849647, 1.97461165, 3.49127054],\n",
       "       [5.24701956, 2.72240136, 4.2862634 ],\n",
       "       [1.92499075, 2.84955461, 2.79345364],\n",
       "       [4.52781396, 2.77430197, 4.16482319],\n",
       "       [7.74362395, 5.25752671, 6.82112129],\n",
       "       [7.80186642, 5.58486093, 7.14959684],\n",
       "       [2.84365873, 1.63690293, 2.64975513],\n",
       "       [5.22328941, 2.61238452, 3.97572754],\n",
       "       [6.21129667, 3.70958535, 5.27449841],\n",
       "       [5.96983973, 3.7834801 , 5.33430101],\n",
       "       [7.25799674, 5.66544618, 7.05659435],\n",
       "       [5.47801206, 2.86960274, 4.36312389],\n",
       "       [3.81260625, 1.26658068, 2.8380365 ],\n",
       "       [6.23587698, 5.41957005, 6.47745342],\n",
       "       [4.73675506, 3.63321732, 4.76900637],\n",
       "       [3.07844335, 3.10042116, 3.60705216],\n",
       "       [7.30249586, 5.10018664, 6.66109432],\n",
       "       [7.7340198 , 6.83126415, 7.9548599 ],\n",
       "       [4.27678348, 2.99526657, 4.18461578],\n",
       "       [4.83976092, 4.02260465, 5.03684274],\n",
       "       [7.09977643, 4.66852109, 6.2426981 ],\n",
       "       [7.740116  , 5.33559893, 6.91104092],\n",
       "       [4.95906042, 2.44233658, 4.01038593],\n",
       "       [3.27778909, 2.90799846, 3.6147663 ],\n",
       "       [7.4443526 , 4.95186279, 6.51464762],\n",
       "       [5.29641003, 3.06350091, 4.61784526],\n",
       "       [6.74633647, 5.83646485, 6.94657952],\n",
       "       [5.62271484, 4.21219415, 5.5053987 ],\n",
       "       [6.98439541, 6.10852066, 7.20824587],\n",
       "       [3.28688634, 3.10756269, 3.72803452],\n",
       "       [4.33014133, 3.99692304, 4.76367122],\n",
       "       [6.70379166, 5.1048186 , 6.49070578],\n",
       "       [4.31580081, 2.87061999, 4.13028785],\n",
       "       [6.75623656, 5.3823072 , 6.6848154 ],\n",
       "       [1.82154504, 1.71168691, 1.99653577],\n",
       "       [3.9223811 , 3.37119511, 4.21491288],\n",
       "       [3.59336023, 3.10489854, 3.89495872],\n",
       "       [4.15333717, 2.23992714, 3.67381082],\n",
       "       [6.42501669, 4.45112482, 5.95434992],\n",
       "       [5.16886969, 2.90990542, 4.46807153],\n",
       "       [5.79461098, 4.96538201, 6.01772376],\n",
       "       [4.09977874, 3.19450132, 4.20993465],\n",
       "       [6.71043323, 5.5222823 , 6.74965005],\n",
       "       [6.466092  , 4.44183018, 5.95908789],\n",
       "       [6.1152803 , 5.38982852, 6.40398507],\n",
       "       [6.55858951, 4.8130179 , 6.24754113],\n",
       "       [5.71756885, 4.84912617, 5.91672319],\n",
       "       [5.97068771, 5.12737999, 6.19071529],\n",
       "       [7.78744556, 5.3161726 , 6.88309695],\n",
       "       [4.02348592, 2.11860691, 3.54338835],\n",
       "       [5.15606272, 3.92576849, 5.13158397],\n",
       "       [5.18613861, 2.80939283, 4.38386109],\n",
       "       [5.31923476, 3.91587146, 5.19778201],\n",
       "       [6.81597186, 4.69472461, 6.23792903],\n",
       "       [5.52027252, 2.90677574, 4.38647046],\n",
       "       [8.76132631, 6.35879934, 7.93355058],\n",
       "       [6.29315107, 3.80344516, 5.3709009 ],\n",
       "       [3.22115857, 2.45683548, 3.33398701],\n",
       "       [3.0461966 , 0.54531177, 2.11374174],\n",
       "       [2.85293071, 0.39962597, 1.94084546],\n",
       "       [5.01262089, 4.40899338, 5.3331236 ],\n",
       "       [6.03608975, 3.51585911, 5.07613828],\n",
       "       [5.16724947, 3.85357539, 5.09432102],\n",
       "       [6.3509629 , 4.48424354, 5.95496636],\n",
       "       [3.42337615, 2.42877644, 3.42949046],\n",
       "       [3.53807753, 1.29299838, 2.81158432],\n",
       "       [6.82711135, 5.71495637, 6.9129996 ],\n",
       "       [3.3664109 , 1.41699309, 2.81527185],\n",
       "       [5.4447896 , 3.6685759 , 5.09397205],\n",
       "       [5.07832945, 4.52253435, 5.42705309],\n",
       "       [6.80627395, 5.3845933 , 6.70635508],\n",
       "       [1.8274891 , 2.14490206, 2.29950865],\n",
       "       [7.52798741, 5.52118673, 7.0424052 ],\n",
       "       [6.48941534, 5.19837858, 6.46332671],\n",
       "       [4.24886145, 4.07679988, 4.76251367],\n",
       "       [3.81233055, 1.71345846, 3.19694382],\n",
       "       [5.69768652, 3.76100268, 5.24373558],\n",
       "       [6.86796953, 5.46907037, 6.78307897],\n",
       "       [6.48314727, 5.31729876, 6.53109189],\n",
       "       [3.54952398, 1.93199081, 3.21171433],\n",
       "       [4.98162636, 2.54128123, 4.11772405],\n",
       "       [6.26947664, 3.74403758, 5.30115567],\n",
       "       [2.87898685, 0.94751033, 2.27549954],\n",
       "       [7.33816229, 6.21075324, 7.42365688],\n",
       "       [6.41842111, 4.97184941, 6.29646069],\n",
       "       [3.63376695, 2.1903149 , 3.4044575 ],\n",
       "       [4.01392415, 2.47364346, 3.75539994],\n",
       "       [3.79932493, 2.58564705, 3.71511416],\n",
       "       [4.89139274, 2.38468691, 3.52680038],\n",
       "       [8.66568935, 6.26666039, 7.84172775],\n",
       "       [4.6371417 , 3.40064479, 4.58877817],\n",
       "       [3.1158555 , 0.49930394, 1.98932715],\n",
       "       [6.48671424, 4.09962132, 5.67609415],\n",
       "       [3.11011675, 3.14156102, 3.64706248],\n",
       "       [3.18080982, 3.25483129, 3.74741071],\n",
       "       [3.10125592, 0.53653701, 2.11278203],\n",
       "       [4.86340944, 3.54724081, 4.77811399],\n",
       "       [4.33868052, 1.81644247, 3.38785347],\n",
       "       [3.63596369, 3.04825974, 3.88708289],\n",
       "       [5.96840131, 3.81510595, 5.35894243],\n",
       "       [6.41852812, 5.24054924, 6.45804717],\n",
       "       [4.14558581, 1.64007314, 2.80855826],\n",
       "       [6.5150963 , 4.60288859, 6.08940186],\n",
       "       [7.51659205, 5.82707998, 7.25446981],\n",
       "       [2.59176597, 2.12935543, 1.21343676],\n",
       "       [3.9504661 , 2.77230701, 2.4976467 ],\n",
       "       [4.35550046, 4.13820005, 3.24048218],\n",
       "       [3.81980822, 3.93090052, 2.83707223],\n",
       "       [3.37279139, 3.48108871, 2.35653984],\n",
       "       [2.73389317, 2.56488359, 1.50369855],\n",
       "       [3.09491594, 3.31010295, 2.11445349],\n",
       "       [3.41338592, 2.68533192, 2.03990242],\n",
       "       [3.77112225, 3.24795603, 2.4941007 ],\n",
       "       [3.36884071, 3.54554538, 2.39020848],\n",
       "       [2.65546019, 2.11482207, 1.2597263 ],\n",
       "       [4.12887178, 3.40453193, 2.80244582],\n",
       "       [3.31097467, 3.30292843, 2.22750253],\n",
       "       [3.44661175, 2.47787416, 2.01158367],\n",
       "       [3.38569954, 3.90830428, 2.61692826],\n",
       "       [2.77756825, 2.70623781, 1.60254552],\n",
       "       [3.10722364, 3.51602924, 2.24537997],\n",
       "       [3.36436492, 3.23442845, 2.22450471],\n",
       "       [2.88400355, 2.56901326, 1.60748254],\n",
       "       [2.24291751, 1.99752671, 0.88362008],\n",
       "       [3.83201944, 3.2553278 , 2.53924875],\n",
       "       [3.53940371, 3.07848338, 2.26930285],\n",
       "       [3.15488147, 3.42309691, 2.21113214],\n",
       "       [3.19005198, 3.78293377, 2.45397672],\n",
       "       [4.12785128, 3.08108473, 2.71019435],\n",
       "       [2.80531864, 3.30607485, 1.97586836],\n",
       "       [2.42950133, 2.60281911, 1.33969647],\n",
       "       [3.73244887, 3.98296086, 2.82129102],\n",
       "       [2.64172872, 2.05176264, 1.22816679],\n",
       "       [2.45985701, 2.42491135, 1.25380638]])"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dists = compute_distances(center, dataset)\n",
    "dists"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "找到每个点离哪一个中心最近 `nearest_center`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2], dtype=int64)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nearest_center = dists.argmin(axis=1)\n",
    "nearest_center"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "将每个点的最近聚类中心点作为其分类，插入到第三列作为标签\n",
    "\n",
    "生成预测标签数据集`dataset_predict`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "       [-1.88906192,  0.7338541 ,  1.        ],\n",
       "       [ 0.50604203,  0.8911164 ,  1.        ],\n",
       "       [-2.00449982,  1.36537976,  1.        ],\n",
       "       [ 2.95316758,  1.37384196,  1.        ],\n",
       "       [ 0.84749392,  2.1739181 ,  1.        ],\n",
       "       [ 1.17005946,  2.09827987,  1.        ],\n",
       "       [ 0.90870273,  0.11658363,  1.        ],\n",
       "       [-1.34771715, -0.33267491,  1.        ],\n",
       "       [ 0.23374972, -0.81353955,  1.        ],\n",
       "       [-1.00365961,  2.45928432,  1.        ],\n",
       "       [ 0.64298896,  1.70620567,  1.        ],\n",
       "       [-1.96610217,  1.85866405,  1.        ],\n",
       "       [-1.33550699, -0.492155  ,  1.        ],\n",
       "       [-1.2723911 ,  2.8156071 ,  1.        ],\n",
       "       [-1.66562864,  0.31794246,  1.        ],\n",
       "       [-0.93972839,  2.34590104,  1.        ],\n",
       "       [-1.17702195,  2.491517  ,  1.        ],\n",
       "       [-1.60888309, -2.7921347 ,  1.        ],\n",
       "       [ 1.0385224 ,  0.14283407,  1.        ],\n",
       "       [-0.40546195,  1.42929921,  1.        ],\n",
       "       [ 0.41353988, -1.14197946,  1.        ],\n",
       "       [-0.54110148,  1.10110344,  1.        ],\n",
       "       [-1.55858453, -0.88465533,  1.        ],\n",
       "       [ 1.06190841, -2.40044796,  1.        ],\n",
       "       [-2.73298463, -2.85529431,  1.        ],\n",
       "       [-0.26467774, -2.09821276,  1.        ],\n",
       "       [ 1.52565283,  1.55203794,  1.        ],\n",
       "       [ 2.56475034, -0.4161708 ,  1.        ],\n",
       "       [ 2.70650126, -0.28469409,  1.        ],\n",
       "       [-0.19104486,  2.598916  ,  1.        ],\n",
       "       [ 0.06719748, -2.10400332,  1.        ],\n",
       "       [-0.40483052,  1.26322349,  1.        ],\n",
       "       [-1.36942655, -0.0115572 ,  1.        ],\n",
       "       [ 1.33995032,  1.33884332,  1.        ],\n",
       "       [ 1.81193399, -0.26846007,  1.        ],\n",
       "       [-2.07404986,  2.08840221,  1.        ],\n",
       "       [ 1.766933  ,  0.13961742,  1.        ],\n",
       "       [-0.51236478,  0.28895509,  1.        ],\n",
       "       [-0.23485605,  2.7198781 ,  1.        ],\n",
       "       [-2.04698752,  1.23951804,  1.        ],\n",
       "       [ 2.91759331,  1.8055996 ,  0.        ],\n",
       "       [-2.40939716, -0.63535759,  1.        ],\n",
       "       [-1.74447214,  1.54524828,  1.        ],\n",
       "       [ 0.67601669,  2.94413476,  1.        ],\n",
       "       [ 1.40252156, -0.12405009,  1.        ],\n",
       "       [-0.65168565, -0.12048531,  1.        ],\n",
       "       [-2.11338273,  1.3106599 ,  1.        ],\n",
       "       [-1.73858796,  1.86620221,  1.        ],\n",
       "       [ 1.38724345,  0.5560998 ,  1.        ],\n",
       "       [ 0.72914695, -1.23732777,  1.        ],\n",
       "       [-0.10248703, -2.26516168,  1.        ],\n",
       "       [ 2.30592414,  0.18042155,  1.        ],\n",
       "       [-2.58115133,  2.17061007,  1.        ],\n",
       "       [-1.64903017,  1.12945402,  1.        ],\n",
       "       [ 1.22634106,  0.7975222 ,  1.        ],\n",
       "       [ 0.85748241,  0.70545445,  1.        ],\n",
       "       [ 0.98521823,  1.15161162,  1.        ],\n",
       "       [ 2.51920686, -2.64325976,  1.        ],\n",
       "       [-2.6606745 , -2.79017992,  1.        ],\n",
       "       [ 0.12346014,  1.30714436,  1.        ],\n",
       "       [ 2.84943161, -0.76112323,  1.        ],\n",
       "       [-0.74428239, -1.74622207,  1.        ],\n",
       "       [ 1.73254165,  2.49544355,  0.        ],\n",
       "       [ 1.68788089,  2.59966752,  0.        ],\n",
       "       [ 2.60718127, -0.53527682,  1.        ],\n",
       "       [-0.09397676,  1.20487706,  1.        ],\n",
       "       [ 1.48021946, -1.14654481,  1.        ],\n",
       "       [ 1.11661935,  1.98059184,  1.        ],\n",
       "       [-0.68705585, -0.76416071,  1.        ],\n",
       "       [-1.67486975,  1.82083552,  1.        ],\n",
       "       [ 2.78335254, -1.9397799 ,  1.        ],\n",
       "       [-1.49638768, -0.16251349,  1.        ],\n",
       "       [-2.6691951 ,  0.46369584,  1.        ],\n",
       "       [ 5.17042032, -0.84271922,  2.        ],\n",
       "       [ 5.13516751, -2.21740869,  2.        ],\n",
       "       [ 6.84372327, -2.1017576 ,  2.        ],\n",
       "       [ 6.86876924, -1.45996784,  2.        ],\n",
       "       [ 6.48009119, -1.17739797,  2.        ],\n",
       "       [ 5.60900705, -0.87950727,  2.        ],\n",
       "       [ 6.35974957, -0.92539146,  2.        ],\n",
       "       [ 5.45690191, -1.62432467,  2.        ],\n",
       "       [ 5.97387378, -1.85098913,  2.        ],\n",
       "       [ 6.55927545, -1.12362013,  2.        ],\n",
       "       [ 5.13676745, -0.91254708,  2.        ],\n",
       "       [ 5.91980427, -2.24402374,  2.        ],\n",
       "       [ 6.28562753, -1.21600508,  2.        ],\n",
       "       [ 5.1641063 , -1.70724036,  2.        ],\n",
       "       [ 6.98006008, -0.82763238,  2.        ],\n",
       "       [ 5.75484392, -0.87309445,  2.        ],\n",
       "       [ 6.59003879, -0.78496046,  2.        ],\n",
       "       [ 6.18033941, -1.32824275,  2.        ],\n",
       "       [ 5.57003195, -1.04928654,  2.        ],\n",
       "       [ 5.09364058, -0.501782  ,  2.        ],\n",
       "       [ 5.94118857, -1.92628018,  2.        ],\n",
       "       [ 5.89271251, -1.63386572,  2.        ],\n",
       "       [ 6.47490997, -0.92332245,  2.        ],\n",
       "       [ 6.87184731, -0.66206924,  2.        ],\n",
       "       [ 5.42432028, -2.35767566,  2.        ],\n",
       "       [ 6.40235278, -0.54824232,  2.        ],\n",
       "       [ 5.69939369, -0.51971338,  2.        ],\n",
       "       [ 6.97162997, -1.28036025,  2.        ],\n",
       "       [ 5.07257137, -0.90754015,  2.        ],\n",
       "       [ 5.51065303, -0.6234094 ,  2.        ]])"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataset_predict = np.insert(dataset, 2, values=nearest_center, axis=1)\n",
    "dataset_predict"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "通过距离矩阵及数据标签，可视化当前状态\n",
    "\n",
    "离哪个中心点最近，即分为那一类\n",
    "\n",
    "计算每个点离自己分类中心的总距离，即为损失函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 4.74276117,  1.71351991],\n",
       "       [ 3.10340744, -0.33123871],\n",
       "       [ 4.58111321,  0.21800973]])"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "center"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "当前总距离为： 827.0041782288416\n"
     ]
    }
   ],
   "source": [
    "def plot_current_state(dataset_predict):\n",
    "    plt.figure()\n",
    "    for label in range(3):\n",
    "        plt.scatter(dataset_predict[dataset_predict[:,2]==label][:,0],\n",
    "                    dataset_predict[dataset_predict[:,2]==label][:,1],\n",
    "                    c='',\n",
    "                    edgecolors=color_map[label],\n",
    "                    marker=marker_map[label])\n",
    "    for i,cet in enumerate(center):\n",
    "        plt.scatter(cet[0], cet[1],c=color_map[i],marker=marker_map[i], s=50)\n",
    "    plt.show()\n",
    "\n",
    "plot_current_state(dataset_predict)\n",
    "loss = np.sum(dists.min(axis=1))  # 计算每个点离自己分类中心的总距离\n",
    "print(\"当前总距离为：\",loss)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5 迭代求出最佳聚类中心"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "def fit_kmeans(dataset_predict, dists, epoch):\n",
    "    break_k = 0\n",
    "    last_loss = np.sum(dists.min(axis=1))\n",
    "    for i in range(epoch):\n",
    "        for label in range(3):\n",
    "            simple_list = dataset_predict[dataset_predict[:,2]==label]\n",
    "            x = np.mean(simple_list[:,0])\n",
    "            y = np.mean(simple_list[:,1])\n",
    "            center[label] = [x,y]\n",
    "        plot_current_state(dataset_predict)\n",
    "        loss = np.sum(dists.min(axis=1))\n",
    "        print(\"总迭代轮次：\",i+1,\"/\",epoch,\"总距离：\",loss)\n",
    "        \n",
    "        dists = compute_distances(center, dataset)\n",
    "        nearest_center = dists.argmin(axis=1)\n",
    "        dataset_predict = np.insert(dataset, 2, values=nearest_center, axis=1) \n",
    "        \n",
    "        if loss == last_loss:\n",
    "            break_k += 1\n",
    "            if break_k == 3:\n",
    "                break\n",
    "        else:\n",
    "            last_loss = loss\n",
    "            break_k = 0\n",
    "        "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "通过epoch设置迭代次数，连续3次距离不下降，则自动结束"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 1 / 20 总距离： 827.0041782288416\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 2 / 20 总距离： 478.0438943981123\n"
     ]
    },
    {
     "data": {
      "image/png": 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YaP6crVuBr77Sdw3Ur09FhSZCMykSF0c3xB9/MAFZ1qzcEJ4xA5g82fHjxcRolTm6ZMxIKaGGqCjOx92d0ayHDvG7a9JEPyXwlSvcDB4yhD73nj2p/jFVqcgEhr7apCJPVDCPI5UmKUEGmnINeZUqrKGpK4kT4eZmo0bvP/+bb7jR+PPPNAyrVjEN7ahR5s9Jn555RnRRq5nUS5MCNykSGsrUteXK6bfXqWPfJqQ5ypfnhXbfPipNdu+mMZ4/X9/3v2EDo1lnzeI+g58ffeDh4cwcqaFxY2rHnz/nf9/Jk+y/WzeLppMS/pEVUjcpV37o5sagmXr1qPrIm5cpWsPDWSA5PmJiaCg2b9Zv79WL+cLN0akTc5U3bqzNxPjrr4CPD3OkJFWyZmX2w+vX9ed54gQLbDgaV1ca5GbNeDeQNy9w/z4LhqxerT3u4kVmY9QkN3Nx4aNOHeZr/+gj5nR/8IAb2R4ePK9cOap6Roxw/NwVFJIgdq/IVSpVPpVK9a9KpbqqUqkuq1Sqrx0xMYfQrRtzej96xCCgdu24CsyUKf7zXFxo2AwLEYeE8AJhjk6dGHDk58exa9Vicq7Vq5OWVNAQV1fegXTqROMpws9p0CCWbXMGgYG8SAwfDrRuzTwpLVvSPQLwYnr+PFP3Fi9Otc7atZzbyZPaC8yLF/xsDb+XAgWMKzIpKKRUTDnOrXkAyAWg4n+/uwO4AaBkfOckaq4VS+nZkw/NxmV0tEibNiIjRrz/3KtXRX75hXk/oqOdO09HoVZTaZMnj0iaNCIlS9pfyDo+qlQxVvOEhIi4u3Mzc+BAFoXOk4cbzrt3i+TOLfLJJyJly2o3j6OiRNKn53el+17KlaMC5z8s3dBKrZtoyY3UukGNhFKtANgMoEF8xzjEkO/ZI9KlCyvWL15spFKwm9BQkbp1qa749FNWhm/ZkhLDlIxaLfL2rfPH8fNjsjLDsb29Ra5fZwKxp0+ZAKtFC5F06UTSpqUxf/JE/7ypU/la0aJMNpYjB5+fO2f1tBxpIFKrsUkIUutF0pwhd+hmp0qlKgCgAoATJl7rpVKpAlQqVcBzC9UEZpk6lQWQK1emumL9evqldRUP9pI1K3Ow/P47fbl//81An/BwqikMuXKF7oFz5xwz/uvXLGCc0PlUVCq6lZxNvXrcQNZl1y6t0sjLiwqjQoW4VxERQZ+9hwcDrXQZNox/A25u/M4qVgQuXzbevFVIMSgb1AaYsu62PABkBnAaQJv3HWvXivzJExEPD5FHj7RtcXFMo7pype39vo9Nm7ji8/QUyZKFwT6RkbwTaNdOJFcuppjNn1+kYUORsDDbxomJEfn2W77H/PlFfHzo8rAlxe7+/VzNliol8tlnpleosbEMlHr92rb52sq9eyL58on07i2yebPIhAl8rzt38jP18RG5dk3/nOnTLY8BsBFlRa6QlIEzV+QqlSotgI0AVovIn47o0yyHDnETMXdubZuLC/OP7N7tnDGPHWO9zp9+YgKrGzeAx4+pGZ84kXcCgYFA//5UtRw/ztXgqVPWjzVuHDXrV66wz8OHqXxZudK6fjZtAjp25AbimjVMYFW/PqCbGmHNGq54K1Xi5zlgQMLdAfj68vPJmZPl84KCuMHaqBFlnCNHcu7bt/NzmDePiqBhwxJmfgpOR8k66UBMWXdrHgBUAH4DMMfSc+xake/Zw1BuQ8aNY9SfM+jQgRGhuoSGctWcJ4/IpUtcVebMKbJsmcjBg/Tp+viIHD5s+TgxMQzpv3NHv333bhaTsBRNCLxhiP1PP2kjJ3fvpt//+HE+f/KEewB9+lg+jrNZs0akalXOs21bm3ze1uLsFXlq9e2aQrljsR44a7MTwIcABMAFAOf+ezSJ7xy7DHlsrEihQiJLl2rdDVeu0IiePWt7v/FRpYrIkSPG7WXKUGXx+DF/37mT7VFRIq6unGP9+paPExoq4uZm7EZ5/JgXBUsJCxPJlCn+fpo1Y24VXV6+5MUpJMTysVIYiaVaSY3GK6UbcmdctM0ZcrtdKyJyWERUIlJWRMr/99hub79mSZOGqVx/+IGZ82rVYp3GqVMZMegMKlXiRpwu9++zoEGjRnS5XLumrbG5YgWDVlq2tM69kiULg2P279dv37YN+OADy/vJmJGRpIbpBK5eZRZIALh3z7hSkpcXNxufPLF8LEsJD6dbKhVhakNO066Q8knQghWmrLuzHw6RH8bFiRw7Ri1yeLj9/cXHzZsi2bOzBuXt2yK7dlHLPHEin+fJI5IhA2VwX31F+du5c6yzWbq0dWNt2ECJ3YoVdNnMmUNJ3smT1vXz/fe8G9BI9W7d4l3D0qV83r0756/LtWtcsUdGWjdWfDx5QomomxvvXqpWZUKzJIqzV4kpfRVqDSn9s3DG+0Oqy35oiufP6U5Ytoy/W8OVKyx+nC+fSOXK7EPjunjxgkoVHx+RIUPowrh5k8b+l1+sn+fevSJNmzIbYYcOtrmMYmI4Fw8PuqKyZeOFSDNnjdGeNo26bY0qZ+5c68cyh1otUqmSyNChvNjGxDAzYfbsIkFBjhvHgSiGPGGwJa1wckMx5M5g1SoatU8+EWnfnr//9pvj+o+NFRk5kn+J+fJpjaShn/r+fUaHtmolMnw4ZXjOJCxM5MYN06vsy5cZQFOoEPOPr11r31gxMfqBWfv38y7A8DPo3ZvRmkkQxZAnDLpGO6Vu/CqG3NE8fMi/Dt1IwqtXRby8aFgdyZs3Infvmo40PX+eq9HBg+lCGTyYz8+fd+wcEpoXLxhlmzEj1TqNGtG11KUL3UQtW/IioTHoCxcyb3gSxNmGNqUbL0tJDRe0hDTkKTeNrS4bNgBt2uhXWS9eHGjblhGBjiRjRvOFkUeMYPHnWbM49qxZzsvS9/gxoxzv3bP+XBFGsnbtSn3+n3+aT0AlwsjXrFm5+fvqFfDxx9ycvXyZUbAtWzKv+df/5VPbuZMbyM5AhLVAk2jCLCUiMfWQkHnuU4chj442nfHQzc0xATC7dwMtWlA18+WXwM2b5o/r0kW/rUsX4J9/7J+DhthYoG9fKnomTmQ2xo4dadwsZfBg1gWtWpXFqidOZOpfEeNjDx6kIuXHH6l6yZCBF7LMmTlu/fpMXTBzJrNAdu7MdLkW1NK0ms2bgTJlGMafMyczJ8bFWdWFUmRCwVEk5EU7dRjy5s2ZAvXZM23bixesiNOihX19r1oFfPEFV9hLlgD58lEOef268bEeHsbSvidPHGslpk/n2IGBzKl+/z5Twn7/vWXnX7pEw3vsGC8IX34JHDkCHD3Kn4bcusWcN7ppevfv52dw+zYjUmvX5mo8OpophQ8ejD8dsC38+y/nO2sW7wIOH+aF83//s6obZcWskCwx5W9x9iNRNjvHjmWE4OjRIv/7HzckR4+2r8+YGPZ56pR++6RJIl27Gh8/fLh+BsXISG56Dhtm3zx0KVRI5MwZ/bYHD5gfxqAgsUlmzaKE0pBRo/gw5MQJjqlbk3TiRLYtWqR/bL163BtwBk2bGgc4PXhA53NKz1iZDFH2CmwDqdpHDtA3/ddfXBVGRQEbNwLjx9vX5+PH9MX6++u3t2rFFa0hY8fSxZM/P7M1+vrSFTF2rH3z0CU4WBv0oyFnTpabM5W10ZCsWfXvXDQ8fcrXDKlcmUUeOnZkwNHDh8ybEhgIFCzIY0ToVrl+HWja1Oq3ZBE3b7K8ny5589LF8/Spc8ZUsJnEvPNJiTleUm6pN1P4+xsbXXvw9GR61ZcvWYpMw7VrxsYU4AbomjVMT3vtGjdcCxVy3HwAFitevZp+bg1DhzI1bebMnNeQIaz+Y6pqUZs2PH7fPqaaBViRZ+NGbQHpe/fof96zh5/B55/T+DdqRF988+bA8uX0q2fPzjYXF26gOqt2aZkydK+UKKFtu3mTF69cuZwzpkKyRBNxaYg1Rby8vExHaHp6JpIbztQy3dmPZFEhyFJ692ZCp+BgPr96VaRIEZGNGxNnPpcvM7L0m29Etm5l+loXF7pM4uIodfT3F5kyxXwf+/Yxd021atSXe3szKZgIiz3kzUs3y40b1IpXr86KPoZERzP69vRp29LwWsOpU9TuL1tGOaRGwz59unPHVXAYzna3vK9/a2SBiSWfRKrWkdvLnj3073p707j9+af2tTdvWGYsa1YacB8fkXnzLO87Kkrkjz9Exo8X+esv+t3t5d49RlN+/DH3AmbO1H/9xg3OM74ydG/fMkPizp36PuaxY4014CEh/G/QzRGfELx9qx/odOQII2w9PGjEf/3VrguIMw1LYviI3d1Nj6l5uLs7b2xLSKhgLM1Pe74DxZAnJ0MeGsqI0OzZRX7/nXlDtmxhwYfVq/WPDQ7matyaknMPHzIsvl495kapXl2kQgWuKB1FvnwMUDLEx8e4ZNr7iItjoQrdC5mG+vW12R+dTVAQo3MzZmS9zsaNeXFyEI5cuZkjMQxBfEZc80hMEtqQv++nJX1Z2u4ozBny1LPZaQ0REUC3btyM7NGDf+Ouriwx1rw5JXVjx+o72jw96fM2FQhkjsGDgQ4dGLgzaRIlc1WrAqNHO+69lC5NuZ8uV64wi6SuXz8+VqzghmaaNOxrxQr912Ni2Gf+/I6Zc3zExTHLZMGClG6GhPB5vXpAWJhDhtD1oeqaOadkrVNQcASmrLuzH0l+Rd6hg0jnznQZZM0qsn07S7lpcpKr1QxFtydLYGws+3j1Sr89MNC63OPv48AB3lH0709/fr9+IsWKMauiJaxcyULJhw/zfa9eTZ/7oEFcoQcHi3z5pUiTJo6bc3z8/Tfzwxu6TNq1Y+EMB2BuZWbNis3SMSxtdwTKipw/HXHHldRW5KlLtWIJjx4xkOTBA0oFvb1Zfi1tWgb+7NvHYCJvb+tW34lFmTJUq6xaxYLObm5c1X74oWXnT57MQKcaNfj8s8+oUBk+HFi2jH21aUM1TkJgKgAJYJu5iFoFBR00qhKViiZc89MaNBHAptoTA8W1YsijRwwxz5QJmDuX4ed379IFEhZG+WKnTsC331qnVzIkTRrmIJkxQ9smwoIZ7drZ/TbeMWUKi1wEB1NDHxICLFjAeqO6qNWs89m1K91JO3dyPtevA9Wq6R/brx/dKTdv0r2xYoVpjbkzKFeOMkPDXCp79/I1hWSLs9MjGPYP2N5/kosANrVMd/YjSbtWwsJ4j3X1Kn/euiWyZAkjI11dWUKtXj3HyOk0m50ffaTd7Cxf3rGbncWKGeczj42lskOz2alWs9BEuXKMxpw3j+cNGUL1x549+ufv2cNc6/ERF+ccyaFaLVK3LnPDX7nCwh4DB4qULOmwghiOUDXoYq6fhFatJHXXSkJgyXeRlKNLoWx2Woi7OwNimjThpToykgEwbm7AuXNMzBQTE/9q/OFDBs/ExMQ/Vp48wIULzGeSIQMTVZ069f5NSLXasihNgO6fN2/026Kj6RJJm5bPjxwBDh1iPpU+fYD+/YHjx+ku6d6dLqVdu+ia2bWLz0eNMj3ejRu800ifnp9l795AaKhlc127llkTc+RgBsWjR42PUalY6i9vXgYg1ajB9/Pvvw4LNtKs3Aw3Nz09bVt1mSv5BSShFV0qwZLvIll+B6asu7MfSXpFLsJV348/cgVepAh14prK9osWcTPUFM+eUbudLRtXtDlzshK8o3j7VuS777iaTpuWgT379pk+9tEjvjZ8OOV5b99qXxs/nvPUMGoUi2IY8tVXDCRav56yyAwZ+HP9etNjvnzJsnczZohERHDF/+WXDCp63+p88WJuqv79NyssLV3KTd9jx+I/LxmQWBtjhiR1HXlCkFS+C1uBoiO3gWbNaMw0ATHnzzOqcf9+08fXqyfy7bdaLXlAANUux487Zj49e3JO9+7RPbJxI43duXPaY2JiGLDj6SlSq5a2YpGvL8+vUoVuCN2CGtOnU9FiyCefMKjGUmbPFvn8c/22uDhe1DSKH1PExvICYOgC+uUXkebNLR8/iZLcjUdKQvczT46JuxRDbgvBwcxO6OUlUqIEQ9+XLTN97NWrNEaGkZmzZtH/bC9PnvAvzFCuOG2afv8TJjA4R3Pc69fMuNi5M+8mduzQz1QowiyBXl76WRz372dbSIjlc+zTR2T+fMruqhMAACAASURBVOP2rl25zxDfe/P2Nm6/e5cXoWSOYsiTDrqfuSW/JzXMGXJFfhgfnp7MmBgUBDx/DhQrZl5y+OQJg1RcDT5SPz/HFI4IDAQKFwayZNFvr1KFPmMNv/wCbN2qPS5TJmDOHKBiRapLNL59tRo4fZq+9ipVKDFs3JhyRY0iZe1a5lC3lFKl6Gvv10/bFhfHQKe+fc2fp3E+372rzZgIcH6OTiqmoJACcchmp0qlWqpSqZ6pVKpLjugvyXDwIDP7devGzH3xVdkpX55FGR4+1G//80+tBtseihShhvr5c/32ffuAsmW1z4ODWdxClzx5WIJNI9k7f55ZArt0Ab75hhGsIixC8d13jCy9f5/Vfayhc2duko4fz3neuUM5Y8GCxilmdUmXjhusnTvzPYpwo3PIEMo8kzlK1aGkg+53ARh/F5pUtskuxa2pZbq1DwC1AFQEcMmS45OFa2XxYt7Wz5/PLIKdOtG9oslyaIopU+gPXrNG5OBBuhoKF3acnPC775i06/hxbqzOm0cfuW6ekebNjd0bv/0mUrs2f3/7lu9r1SrtBuTJk3Rt3LxpPGZYGKMm06YVUano81+71vwc796lNNDdXVtoOjzc/PGHD9N9Vby4SKlS3MjNnJmFKVat0j82JoabqIaEhsY/hoKCCUy5UMzJMJOKuwXO9pEDKJBiDPnr1/QPX7um3/7556x+Ex9//cVw9Q8+oGLk2TPHzSsujhuKxYrR4LVoob/RKSJy4QIN6NChVICMGkUjrdlw3bxZpE4d476/+ca4YpJaLVKxIhNTTZokcvSoSJs2DNF3RKWfHTu47/DLLyIXL/IC5O3Ndl2VS1QUNe0eHpxLxYrUsl+8yA1dNzfq+1u2TPgMjArJFsWQp3RDfvQopX2GbN/O4J2kzt27NMyNGjFYRnfFvnQp7y4MmT3buMTb8eOUHBpKKGvVogrGHKGhTM27di1/N0fFirzb0WXlSgb86NKtG430gwe8mP31Fw2+tzfzq0RHc6U+apRI6dLGm7mWEBnJO4DRozl3XbmmQorEGtWKYsi1r/cCEAAgwDc+I5AUuH5dJHduYwXK4sXmNeTJhTt3aAB1XUSxsbyDMFxlL1vG1ffr13z+8iUvED4+/NMZP944be+6dVw5N2vGh6enad15TAz7NqwjGhrKFbaGoCD2ERamf1yLFnRbGVKlClf01vDgATXsDRuKjBnDC0nJktan+VVIVqQkQ55gkZ0i8rOI+IuIv4+PT0INaxtFi1JtMn48VRcAK8JPmcIozKRGRATVKoMHA4sXMz+MOQoWZC6VGjWApUuB9euZBjZrVkZk6lK8OHPCXLwIvH2rTRVbrBgTcZ06BXzyiTY07vFjRobu30/lzNatjLjs1YvKH13SpAF8fJjLRZcrVxi1qSEwkN+Fu7v+ca6upjMdVahA9Ys1fPMNa47u2sX0xPv2MWr0+++t60eHlFgXMqFx9mdoKspT057sMGXdbXkgJblWRBhdWLMmA4CqVuVl2prKPwnFvXsiBQtyw3DGDPqw8+c3XUxCg1pNX3n79twcXbzYtCtBrWYumGzZ6HKoXVtk2DCm3x03ji6NQoVETpzg8XPmiPToYdxP9+6MlDVk0iSRDz9kzhkRzrliRZEFC7THvHzJFf6zZzxu82YGDrVowU1bXV96TAxX6dZEg8bF8f0Y6uUfPeK4NqJox+3H2Z+hqX6SepAQnKkjV6lUvwOoA8BbpVI9BDBGRJY4om+H8+wZ86XExgLNmhlL9TTkykX54dWrTFtbvrzxqjApMHw4ZYRjx/L5N98AEycyX8y6dabPUamAFi34iA+Viqvuhg1ZbBmgLLB3b+ZacXGhRDEggPLCN29MZ0HMksU434tm7m/eULvu4cHV/pAh+ppzLy+gZ09mNoyIYLrac+d415EvHzXrAwZQGjphAu8WPvjgvR+bHi4uxtkU4+Lsy26pkCwJDrYtrW2iY8q6O/uRaCvyP/7gKqtjR0Yb2rrKVqsZrn/2rLGPN6FxcxN5/ly/LTSUq0xHZh+cNo2rfo2/XEPVqlTHiPAzyZ1b3//+8iUlixcumO87IoLSR93aoLr89BPvMjR3B61aiXTpItK0KTdzCxTga2PG2JYBsVMnSjs1qNUiffuaTltgIcqK3H4SY0XuyP6dAVJ9iP7TpzTcFy9q2zTVeK5etbyfkycp/ytcmAm1/PzizyPibDw8uFmnS1AQtdiONOQvXlAquGQJXRhv3tC9UqKEvkpk6FC6W6ZM4aNgQbpjzHHvHtVA16+bP6ZaNeN6oBERrN7kCI1+UBA17DVq0KBXqUIXz8uXNneZHI1EUkMx5MaYM+SpJ43t5s1MjVq6tLYtf35GE5pzQRgSHs6anRMmMIT9+nVg5kygVavEy33ZsSMrGGnuBUXoZunY0bGugWzZuBm4ZAl/z54dOHmSbWnSaI+bOpWVgx4/5gbnihXcJDYkNpYbxxUqMIVArVr8HCMijI999Yrj6ZIpEx+mjreWnDmBs2cZRZotGyNbT55UdiZTOCkp4jb15FqJiWEouCHp09OoWMLGjUD16lRqaGjRAmjQAPjjD+OqOwnBlClA06b0M3/4IX3Ybm7A9u2OH6tcOeYuf/GCucxN+cNVKhrlWrXi72vGDKpL7t2jAiY6mmqaoUOBhQv1j23YEFi+nEZfwz//0Pfu62v32wLA99OqlWP6QtIrBZYccfZnmCzzjpsh9RjyZs20OUQ0//wvXwIrV3K1bglPn+onddJQsCA3URODrFmZqOrAAUr3OnRgaTdnbtR5e9vfx5IlvPhlzszn6dLx7qZIEZbY000+NmwYL1IvX/KO6NIlyixXr06SG5JeXqYlbJ6eKct4OJuk8FktOrUIO2/vNGpPo0qDeR/PQ54seRJhVsakHkPu6wuMGUPVQ5cuNBy//cbfK1a0rI9ateiKmTxZmwUxJoYZEufNc97c34dKReNdp07izcFaQkOpDNIlWzauzKOj9Q15zpxUz/z6K7BhA9UqBw9S554E0eiTDUmC1xyF9xAZG4nbwbcxqd6kd23XX17H1MNT4Z4+6ajYVJIIOht/f38JCAhI8HEBUE64bh0NcOvWQKVKxsc8f053i6GhEaHv+eFDyuTSpAF+/JG3+H/9pfynWkPHjnTVDB+ubVuzhm6Vw4ct60OEx16/zhS6Vasmie/AnHwtWcraUjlvYt6g8NzC2PX5LpTNwSyjn//5OUp4l8DIWiMTfD4qleq0iPgbtac6Qx4fd+9yAy4ggEbazw/46Sd932xsLP2169fzv7JNG9aw1NS/VLCMmzeB2rX5+dWrp11xb9kCVKv2/vNDQ+lmefmSBvzwYd51bdqkddckEoohT1nMOjYLRx8cxYb2G3DtxTXUXFYTtwfeRpb0Wd5/soMxZ8hTh2rl4kWgbVsW9S1bFli0yPg/KiaGm2oNG9IX/uwZg00+/pjGQoOrKwNUdu3ihlufPooRt4UiRVg4wsuLLq6YGOYyt8SIA9wULVECuHyZqQauXeMd1OjRzp23QpLGGWH9ffz74MiDI7jw9AImHpyIQR8MShQjHh8pd0V+8SILKKRNy6IFo0YB7doxZ8o339BAjx+vPX7zZm62HTyo30/nzvSrDxzo3PkqWI4Io2xv3+bFWcOdO1ydJ9bG838oK/LEw1mf/axjs7D+ynrcCr6VaKtxIDWtyN++pTzw448pwevTB8iYkZV+8uThhuWWLdycfPVKe979+/oacw2lS/M1haSDCL9nNzf9dnf3+Ks4JRApSZ+sQPr498GdkDtJcjUOpERD/sMPrEN55w43z4oXZx6QQYO0x+TKBRQowBWdhipV6CqJidG2ibDEW3xlyhQSHhcXoEkTush0WbCAfvNEJjjYVNqlpCGnU7CNTGkz4dgXx/Bdje8SeyomSXnyw5UrqUrRBP/4+QElSwKTJtHAZ8jA5Ex371KPvGYNb887daLyoWVLpi/NkIF65qgohwaKpGiuX+fdS9my+i4PZzBjBjdJz55lkNbBg4zGPHDAueOaQNGNpw4KeSbdQuApb0X++rV+5fevvwZmz6baJDqa0sHPPuNt+bx5DG65eZPG56uvqKQYMIAFl319gd27TUeEKmh59YrRpXXqMNK0eHGGuxtmFHQkRYpwH6RqVQZC1akDXLjAtAsJjKm81iLJNK+1QrIk5W12fvklA0umTtW2DR7Mwgsi3PysUIHGeft2bZ6QnTtpyG/d4q27LWiCgw4eZG6Qrl0TxbCYRYQBNUuW0Mp89BH18PZGanbuzH2IBQv4+b58SddHjx5MeZvCUTY3kw4p/e7I3GZnynOtjB3LDc07d5gDJSCA2uJDh4DChWlwGjXiSl032VOjRjRCFy8yUMVaIiO5wRoTw83Wu3cZbLRqFdC4MRNuxcXp3y04k/v3qcsODOQ8unVj8NLatYxwzZ2bbqjq1YETJ2zfiQsPp+LnwQOtDDNbNka/Dh+eKgy5QtIhJRhrW0h5hjxPHuDMGWbdO3ECKFSIMsScObXHpE1L37chUVG2a8J//pmBKFu2aFf0bdowgrF8ea2ssXJlrlxLljTu4/VrbuBt307XT5culExaG6147BiTeXXqRD/yjh3MMBgcTD+25rP48EOqeX7+mflMbCEignc3WQx28vPkSb3/VQoKCUzKM+QAE0nFp/vu2BGYNo0r5UyZ2LZiBVfLJUrYNubWrXTh6Lplqlenm8HXl9pmV1eukhs0oF9XN3vg27estpMzJ/Ddd7w/nDCBEY/Tplk+DxHq5hcsANq3Z1u3bgyIOnFC/4IG8GKzfLlt7xlgfzly0DX18cfa9pUr+X4UFBScTso05O+jSxeukIsW5SbdnTuMDNyxw/ZcHRkyGOfG3raN/Q0YoL1gfPUVixP//js17hr++IOr8D//1M7h44+puunXz3Jf+4sX9POHhnKVXaQIMyJ26cK7hbg4fZfSzZvGOWWsQaXiar9TJ77PsmX5Of79N1PepgKUlLUKiU3KU61YgosLw7q3b6fh6d2bBs1UQJClfPYZNexhYdq2tWsZpGLoRjFV6f3gQfrWdS2CpyddI9YYxLNnOYfBg7mSHzSIbo5Hj5ixceRIrv4BrtBnz7bfj92gAfDvv8CTJ9xUzpmTexOOyhWeBIgv9FvRjSskNqlzRa6hbFk+HEHHjvRN+/nRZRMYyIuDuztleJpVsAjztOgWGAaocjE07gDbLNVkh4fTpw5oix2/fs2fAwcyP8nZszTsXl48Zv58y9P4xkepUnTn2EtkJDBrFtU1AN/PkCHcpLaHqCi6tbZt00b6tmlj8R2YkppWISmTOlfkzkCloi798GFq0b/7jtVv/Pzo2jhzhgmeevXiirl1a/3zu3enLPDYMT5Xq2lkw8ON84zHxdEnPX06FSOaCkdr15rXbqtUjGbdsYObv3/+yYuNxvBbw/nzlFZ+8AF/nj9vfR8awsLokvHyooEtUIB3J/Pn8xEQwGhNezTpMTHalA19+3K/YNw4XtichDOSNykomMVUIU9nPxKl+LK1PHrE6uoZM7KQcffuxtXqLeH1a5HRo1nlvVAhkSFD9KvM67J5M6vQly4tki+fSKVKIjdu8LWQEJEFC0T692fh5/Ll2VeNGiwcHBTEwsem7/L5GD7c9s9Dw+HDIt7eItOnixw9yp8+Pmy3FrVapE4dkW7dRO7fF9mwQSRnTpG8eUVCQ3lMbKxI2bIiu3bZPuc//uDnFBenbQsOFsmWTeTOHYu6sLZQb3Is7KuQ9EGqL75sDVFRQN269PE+eMDNw8yZ6QuOi7Our0yZmGXx+nXmdpk50/wuWIsWXCUvW0b3y6lT3Ky8epWui4MHubKPjOQ8RozgHUCzZvSJFylinEhKg5sb7w7sZeRI6tG//ZYpZ7/9ln72kTYk2T92jEWalyxh1Z8rV3hnUqMGVS8AXVJNmzL8fv16xgj4+XFz9coVy8b591/eFekqijw9GTtgmO1SQSEZohhyU2zYwFv8yZMZ3JIjB41XunR0TTiTtGkBf3/KIDUO2P79mf/ljz94MTh4kBrwCRP4+vDhjCht1858VKqLC42ZvRw+TNeELm3bWl7VR5erVynR1Mw5Xz66nz78UN9IX7pEVdGoUUxB/PffDNqqU4cXyPfh40M3lyH37jmm/qiCQiLjEEOuUqkaq1Sq6yqV6pZKpRr+/jPs4Pp1BrBs2qRVXziaq1dpTHRRqdh29ap9fQcGsqJQzpxc5fv5aXPBmCI8nAUXevbk87g4Gvuvv+ZnAHDVKsL+tm/nBqtmZe7mxufbtzumck7OnNzE1eXWLdskjMWLc1Wu8X9/8gmLTaxYQWlobCyLLJ8+zT2BLVuY1KxYMfq3Bw60TGPfrRv71Ow/iPAu4NEjFhKxACU1rUKSxpS/xZoHgDQAbgMoBCAdgPMASsZ3jk0+crWa/uEcOehTrVOHfuSLF21zNsXHqlUiDRsaj1+lisi2bbb3e/Mm5+/hIdKhg8iYMfQ3lywp0qOH6XMiIkQyZRIJD+fznj1FPvqI/vP06UUmThQZNUqkdWvtOeHhIr/+Sp/4r79qz3UEkyeL1Kol8uyZyIMHIidPitSsyXZrUatFatfme3/4kH7xr78WSZdOxNNTxMtLpHp1ka1bRfz8jM8/fVqkTBnLxtq8mf738uW5x1C6tMjly9bP2UIUH7mCM4AZH7kjDHk1ALt0no8AMCK+c2wy5L//LlKhgkhYmLZt+XL+Q6rV1vcXH5GR3JwcMYIbnEFBIgMGcPzYWNv77d5dpFEjkU8/1bYdPSri68uNt1u3TJ/XqhU3TEVEPv9cJEMGkaxZRcqVE8mViwb9+nXb52UNsbE0vGnS8KFSce4HD9rWX2ioSN++Ilmy0IC3aSNy+zY3mx894jEhIXy/L1/qn7t8uUjz5paPFR0tcuyYyLlzjv+bMcDT0/R+s6enU4dVSOE405C3A/CrzvPOAOabOK4XgAAAAb6+vta/g2bNRNas0W9Tq6kEOX/e+v7ex6NHNJqZMom4u4t88YXIixf29Vm0qEiTJjRAuuTKRQO/bp3p8x4+pDKlXDmqaIoU4Ur0u+9Eli3jCnnlSl4ITp0SiYqyb57xER3NFe3kyRwrOFhk40YqV4KC7Os7PuPaqxcvaE+f8vnx41S37NlDA69RuSgopGCcacg/MWHI58V3jk0r8gYNeHtsSJkyIidOWN9fQnLjBleOAFexpUppJYgvX3I1WqgQ3RTmiImh26FyZZFDh/SN3vjxlC3mzEmpXo4cIqtXO+e9bNlCKZ8hPXuKTJvmnDFFeHHq148r8xw5eBczZQrdOu7ulIg2aUIZo4JCCsWcIXfEZudDAPl0nucF8NgB/erTogWwcKG+/O/AAYbcOSIy0VncvMn5BQRQHujpCdy4Qeneq1fMt5IvHzcL/Y3SDGtxdWXEaJo03HTVKFpEGFFZrBilkufPc2Pwm284pqN5/JiblIYUL87NQ2eRPj0DhB494ubn6dNUEnXuzMRkz56xyETDhuY3jhUUUiqmrLs1DzDM/w6AgtBudpaK7xybVuSRkdzkq1JFZMYMbnxmyyayY4dtl7aEICSEm5lFitANsW0bN2jTpaNvGRBxdeVGpSXBRjEx7Gv2bP6uVovMmyfi4iISGKh/7A8/0B3haM6do0sjMlLbplbTvfP7744fzxzz5ol89plxe/XqvGtQUEiBwMyK3O5cKyISq1Kp+gPYBSpYlorIZXv7NSJDBq0E7cABartPn05aFXgMWbKEK/ABA7Sr7fPnWeDC358a6m++oTzQElxdqWPv0oUl1TJlogSzXDnjz6FQIeDoUce+H4Bj1arFu4MRIyhvnD+f82jTxvHjmSMw0HQBkHLlTGvGFRRSMCmv1FtSon17GulXr7RJoACWQTt3jvlOqla1re/AQEagZstGzfWlS0yGBVCXXaMG85j4+tIt9cUXjqs9qtF3r1lDA96iBSNLLb0gOYI1a5gEa+9erZspNpaZJpcv50XSFLGxPOflS7qoUlCGRoWUj7lSb4ohdyZDhjB4Z/16Ztv76isa10qVGLl54oRj0udNmULjNXIkS7j168dSb/Pm0dBramlu26afizw58OYNL1LZszPaVsPbt7wIVqrE4KioKGDSJBbY/vtv05/r1atMZ+DjQwO+dy9T+E6apKQxVEgWmDPkdvvIbXkki6RZjuDqVcryVq1iAq5MmejPBkTy5xf59lv60R3Bli0iLVuK+PtTwaGr3oiJYQBRcvMdL1jAoKAKFfg5fvyxvgQ0OJifoZ+fSIkSVO/o+u51UaupcPrlF23bixc8b9Mmh09d0ZErOAM4S35oyyPZG3K1mpLHKVNEFi82n81QRGTnThoab29ucJYrxw3b7Nlp2DNmdJxs7+VLbva5unJD9ZNPtJugU6cyW2JyYdcukQIFtIFOb9+KDBpEiaEtnD1L/buhVn3ZMpG2be2aqimUyE4FZ2DOkCtJs6xFrQZ69GACqufPgX376KM2l0WvUSPmhyldmiXRcuRg1Z/HjykPdHNj7pht2+yfV+PGzKdSowbleKVLM7FURAQ3AH187BsjIVm8GPjf//jZAvTvT53KjJD371vf3+vXrMlq6ELx8NAW31BQSKakPkP++DENcfbs1G8PH66tpmMJ69YBFy8yS9/MmcxIuHIl06qa0y+7uLDST4UKrNAzbhx91SVK8LWBA1kizR727mUBhU2bmMTq77+B0aOp4hg3jvP+/HP7xkhInj4FChbUb0ufnnsAz55Z35+/P/Dwob62Xq3mRbRpU/vmqqCQyKQuQx4RQelc9uz8h/7nHxrYNm1M1/Eyxfr13FzTFFMGuBL29ubmpTmKFgUOHeKKXKMeuXWLxqRYMaoo7OHaNSo1Mmbk6n7CBI554gTw009UeeTNa98YCUnt2rz46HL1KgOCSpWyvr/06RlQ1qQJZZOLFjHn/OvXVPTYiWFFIECpCKSQcKSump2rV7NG59Sp2rY1a2hIT55k6bL3IWJa4aBSxX8xGDqUUYhRUVyVp0nDIgqDBvHiULeu9e9Hl5IlKccTAcqXZz7v8+epYe/SxeJ0rUmGr7+mKqVPH6a3vX2b6pLJk22v39mmDS8Cy5axQEevXuzblCzz7l2u1gMDqYz54ot4c9Ya1vTU/DkoYhiFhCB1GfILF4wNZpo0XP1duGCZIW/bFpg7l0UcMmRg29692hBxc9Svz5XxgAEM2Xdx4X/6lStc3Vta7cYcdevS396rF33LGTJQux4UBHz2mX19JwbZszMP+9y5rLCUIwcNcL169vVbrJj+hdwUhw+zpmq3bpQr7thBY37okFar/x40+csBY2Pu5QUEB1s/9ZTCyvMrseriKqN2FVSY0XAGSmcvbVE/ceo4BIYGmnwtb5a8SO+a3p5pJitSlyEvUoQrb11E2Na5s2V9fPop/7HLlKExf/iQz9etY+RlfLRsyf/iVq3oL3d1ZY6SU6e4ETplim3vC+CFYft2VhIqV4566tatgf37zZd/S+pkzw5MnJiwY4rwYvvTT9pKSJ06sZj2pEl0z1hAcLB+OhxdUvsqPYNrBlx8ehFLWy6FCvwwnkQ8QZ+/+yBbxmwW97Pl+ha0W98OBTwK6LU/DHuICXUnYGgN64trx6njcP7peajFuNh3AY8C8M6URCtKmZKyOPuRaPLDly+ZMvbHH6k3fvmSecarVLEuP7VazWLD48aJzJ9vXVHmli31tcwiTJnr4cEiEgqJy7Nn/C50CzWLiFy5IlKwoNnTNBpxS7TjqV2CGKeOk1ILSsn2G9vftQ3eOVi+3vG1Vf1ExkRKnpl5JOBRwLu2x2GPxXOqpzwOe2zT3M4GnRWMhZT/qbxUWlzp3cNjqod8te0rm/p0JFB05P9x5Qpzf6dLRw1358725xm3hpIlRS5cMG4vWJAVhBQSl/BwETc35ob/6SeRM2fYfvAgYwDMoDHaptpMtad21l1aJ1V+qSJqtVqCwoNsNr7zT8yX5mu0xUUG7Rhk9QVBF7VaLR8u/VBWnV/1ri38bbhkn55dLj29ZHO/jsKcIU9drhWAkr8dO4AjR5j2tUoVhrEnFKVL091Rpoy27e5dhu5b6H9VcCLPn2sloU2b0p1SuTLbu3Y1e5qnJzc8Dd0mmnYFfdqWbItxB8Zh562d2H1nN7qU64Jc7qbrvkbHRaPdunZ4HWOs9y/uXRxngs7g9OPTyO2eGyvOr8Dlr2zP2adSqTC29lh8tf0rfFr6U6RxSYMFJxegboG6KJXdBrVUApFyDfn589zUOnOGOToGD6ZM8Plz+qifPaMxHTiQvuvFixMmD8nQocDHHwNZsgDNm1NSN2AAsyDaqsZQcBw9e/Jv5cAB4N9/ud+wdSs3OwcONHuaxiduqFzR9ZUraHFRuWBM7TEYumcoHoU9itf4pnVJi6CIINTyrYUmRZq8a599fDZEBCM+HIFxB8ahsGfheC8IllKvYD1kd8uOPy79gZbFW2LW8VnY12VfvOdExkRiUcAiRMdFG71WOntpNCvazK45vRdTy3RnP5zuWjlzhiHxs2bRlbJ6NfOAr17NcOwhQ7Q+0IgIFgCeM8e5c9LlyBFWPMqSha6WRYucXkNSwQKCgujQfvuW38fp0yxjt2oVKzO9B0OXiZJvJX40vnJLXCHbrm+TMgvLSJya/7fPIp6J1w9ecj/0/jtfeZYpWWz2jRuy5/YeKTqvqEw6OEk6rO/w3uNfRb2SzJMzS6eNnWTY7mHvHqUXlpYem8wUVrcBpCofeZs2LDygy7FjLA/m7m5cVX7/fiZmUkjd3L/PHDiGG53Hj7OE3ntQ8qtYT1B4kETGmEl0poNarRb/n/1lw+UNIiIybPcw6but77vXV19YLZMPTnbYvDS+8rTj01rsG/9+z/fSa4u2mEtIZIhk+yGb3Hhxw2HzMmfIU6Zr5eRJhs/rUrUq/dCurvpRmQB95OHhCTc/ZxAa7ghuogAAIABJREFUCkRGAjlzpp57+dBQYNcuusQaNbI/H3revEwBsH49c+kAXETPn8+c6+9BVztu2H7x6UVEREcYvebj5gM/Lz/75p2MyZk5p0XHaXzXI/aOQM38NfHLmV9wrve5d69/VsaxsRIqlQrTG0zH3zf+ttg3PqTaEBSdXxTf1/we+T3yY+6JuWhatCmKZCvi0LmZImXmI69Rg2HYzXT8Ug8f0ifu6wuMGaNfzWbwYNYCnTvXeXNyFk+fMvpx717mHPf1peGpUcMx/b9+DezZQ4NWvz6TciUFfv+d+d1r1mSOmxMnGDCkMbirV/NifvcuA7BGj2YCsfdx4gT3Lpo3ZxTo1q1M7bBnD5A1q01TVYsaWadmRR73PPDMqI0OfRz+GNkyZsOZ3mds6je1ISKo8msVAEDl3JWxsKllmn5HcPLRSRy5f8SoXaVSoXPZzsiWiYKJkXtH4sWbF/ihwQ/wm+uHY18cc6ghN5ePPGWuyL/+mkUdChbkP2NQEEOse/XiP2jr1lStlC1LBUtAAKP5khsiNFx16gCrVnGz9K+/uJl7+rT91W+2bWN0Y4UKVHL06MHkXvnyAbt307C1b8/AnYTk3j2gf39+Z5q8KwEBTENw/TqwcSMwezYLalSowFV7hw5s//DD+Pv+4AMWsvjtN2ZZ/PJLBn7ZUV3JReWCAVUGICQyBIuaLXrXXmd5HXQv393mflMbmlV567Wt8Wf7PxN07N23d2NhwEK0L9n+XdubmDf4+czPaFS40TtDrlmVx6hj0KhwI+R2z43X0Vq1jauLq1MiTlPmihxgBN748VylRkTQIJUoAWzezHwnbm68Fa9cmTlPbFxtJSrHjtG4Xrmif08/aBBVMePH29738+eMOt2+XZu64MwZoFo1hst/+invBrZt4+q3cWP73os1TJvGHCiGUZadOtFQT5rE7I+6NT2XL2f07fbtCTdPHV68eYFi84vhbO+z8M3qi/2B+9FzS09c638Nri4pcz31Ph6HP8ac43NMRlHWL1Qfjf2M/6ZEBA/DHiJf1nwJMcV3hEaFwm+uH05+eRKFPAsBAGYdm4UjD45gY/uNeseO3DsSkw9PhqvKFelctQuAOHUcMrhmQMiwEKhsdH+mrhU5wNvunj25Gs+WjYY8IIASMrWaKzYPDxo9ZyEC3LlDv7wzikTfu0ddukpF18q0aVyRurvbr0nfsIEySd38M/fu0bXy1VdM/wtwVdy2LVev6RMot8WbN6YvvFmzAi9ecK/AsDBzvXrAqFH8PSqKDw8P58/1P7wzeaN3pd6YcmgKFjVbhLH7x2J0rdGp1ogD1IfPOjYLw2oM03M5zTs5Dzkz5zRpyNWixumg0zjyQOvmOP7wOG4G30TW9FmRK7NWeujq4ooRNUfAI4P937NHBg/0r9Ifkw5OwpKWS/Am5g2mH52OnZ12Gh07tMZQ3Am5A9c0rljZeuW79u/3fo/gyGCbjXh8pOw0tunS0YCeOsX84YsW8fctW3irfeCAce4VR3HypLbifJUqXMleu+bYMSpVYkGLDRuYK6ZLFxa6yJABOHqUfl1biYgwzsG6cSPzesfEaNs+/BDw8zNfWMMZNG3KrJVhYdq2Fy84v9atufl565b+OadOMZ6gZ08W2Mibl3djhw7xgnv8OFfrTozeGVJtCNZdWYffzv+Gh2EP0alsJ6eNlVQJfxuORacWYc6xOZh1bBaKZiuK3bd34/6r+0iXJh08M3jidfRr9PXva/L8qNgodPqzE34+/TM2XduETdc2YdetXdhzZw/OPTmH3O65kds9N2LVsVgYsBCO9DgMqjoIm69vxp2QO/gp4CdUz1cd5XKWMzoua4asWNx8MXbe2onrL64D4B3Z4tOLMeLDEQ6bjy6pYzmwfz9Tu9arR59nw4YswPD6NX3kVao4dryXL+mLnzePaVI1BQwaN+aK2VEr1yJFaNS6d+dmXtmyTL4VFsYNz3HjuEFpCx9/zM9p3Dht+tbYWN7VTJ6sf6w4OF9rVBQ3n80l+6pcmfsA/v78PmNj+fn27s07lK+/pptl+XK6hw4e5IZ2zpzs9+5dvqe//mIwmI8P75py5+Z5Y8eyDwejWZV339wdS1ssTZWr8VdvX2HAjgGoX6g+dt3eheyZsuPam2u4+OwivN288TTiKWrkqwG3dKa/e7d0buhfuT/Co8PfbXY+CnsE3zm+GF9nPNqVagcA6L21NwZWGai30n8fS88uxfSj0wFw5X835O47t0/W9FmRNk1aRMVGofby2ohVx5pcjWvIkj4LBn0wCBMPTcTK1isx69gsfFLyE+T3cMKdOZBCdeSGzJnDgsR79+q3588v0qyZ48f78UfmcDHko4+Yw8ORvH1LoXLFiiJFi4p8/bXI06cMdMqQwb6+v/1WpEgRkZkzRWbPFsmTRyRbNn0d/sGDIjlyiERF2TeWiMjjxwzYypiRc2/QgAWsTaFW8/vs109k4EAmMdMQFyfyww8iOXOKpE/Pz2XWLCZMi47W7yN7dpE6dbQBWYGB/Lv491/7348Jnr9+Ll9s/kJi4mKc0n9yoPum7jJ632ipvqS6rL6wWjqu7ygZJmaQDZc3iGqsSq4+M/Od/8eziGfiOdVT7oeywPiys8sk36x8MmD7ABERCQwJFK8fvOTFa+tyKB2+d1i8fvCSc0Hn5MqzK1Lt12ryxeYvJOPEjHL+yXkJCg+SxqsaS/oJ6aXN2jbv7e9V1CvxnuYtR+4fEa8fvCQwJNCq+ZgCqSogyJBjx1i9fscOPlerWTndw0OkfHnHjzdsmMjEicbt/fo5J4I0Xz4WF9bl8GGR4sXt61etFtmzR6R3b5FevVhIulcvBlYNHizSqRMN+65d9o0jIhIbyyr3I0aIhIXxwjB3Li8eoaG29RkXJ/L6Nd/H9u0iDRvqv37qlEju3CItWui3z50r0qWLbWMqvJdbL29Jth+yycbLG6XYvGLSc3NPST8hvRScU1Cq/lLVoj6G/jNU+m7rKzFxMVL4x8Ly55U/xXOqpzx89VB6bekl3+/53qa5Nfitgfwc8LOIiBy6d0iyTM4iA7cPFBGRa8+vifc0b1l3aZ3cCb5jUX8TD0wU98nu0ntrb5vmY4hTDDmATwBcBqAG4G/peQluyB8+ZDi8r69IqVIiJUqIFCrEVVudOo4f76+/RD74QD9C8O1bZjg8ftzx482aJVKpkjZ74tWrNIqLFzt+LBGRgACRKVNEFi60LoVvfGzfznTChnToILJggf39P3jA2PhXr7Rte/Zw1T5mjP6x69YZG3cFh6JZlfv/7C9uk9yk1e+tLFqNa9CsysfvHy91l9cVEZFvdn0jrf9obdNqXMPhe4cl/+z88jb2rTwKeySu411l5tGZIiLy+Z+fy8QDJhZo8fAq6pX4/+zvkNW4iPMiOy8BaANgsZ39OJc8ebQbjk2bcjOsUCH6gAcMcPx4zZpRFfPJJ1TJREcDP/zAzUlH++MBKm+iolizU1M0cuhQ+o+dQaVKfDiS27dN91mpEpU/9pI3Lze4mzdnMrVcubgx/PSpfhk8EWrIE1JOmQoZWXMkqvxaBR/k+QC3XG4hT5Y8aFW8FYr7FDd7zrUX1/DFli/e+a0zumbE//b/DyV9SmLuibn4rvp3KPhjQQyuOvidrttaavjWQNFsRfHb+d9w8elFtCneBvNOzkPDwg2x89ZOLGiywKr+sqTPglNfnrJpLlZhyrpb+wCwH0l5RS7CVXmlSnQ3tGwp4uVF94CzklW9fi0yeTKTLVWvTr+5rn/WGbx9Sz+zs8dxBgcPihQrRheLLg0biqxY4ZgxYmN591KyJP3lXbuKTJpE98306SJr1oh8/LFI1ar8/hScSvdN3SXdhHRSaXElST8hvdwLvRfv8aGRoeIx1UNWnFshR+8fle03tkvfrX2l0I+FZPWF1SIisv/ufgmLCrNrXofvHZa8s/KK51RPCQoPkvq/1Ze8s/JavRp3BjCzIndIQJBKpdoP4FsRMRvlo1KpegHoBQC+vr6V7t27Z/e4ViP/ycweP+bKOF/CBhWkaM6fZ/HnJ08oSezRw7rcJyJcGXt5Ue+dMSPw449cNZ8+ra2P6gyOHweWLmXO2QYNKONUUgo7ncfhj3Ho3iEU8CiAYw+PYVDV98d0TDgwAbdCbmFFqxUAgD139qD/9v64/NVlpHFxXBrqxqsao5RPKcxsNBMbr2zEl1u/xMyGM5EprX6epgaFG8Aro5eZXhyPuYCg9xpylUq1B4CpzDYjRWTzf8fsx3sMuS4Oj+w8fx6YMYMRjsWKMbe3I2/9Q0KAFSsoHSxdmprtLFkc139yZ+NG6rPz5aNbR62mzO/IkXgrzxvx+jWjMn//nVr1li0pBfTxef+5Dx7wO3r2jPlXWrViVK9CiuJV1Cv4zfPD0R5H4eflh5rLauKryl85PGlWZEwk0qVJhzQuaTDn+ByM+XcMGhfRutvUosbGKxuxu/NufFToI4eOHR/mDPl7A4JEpL6IlDbx2OycqVrJ0aPUSpcvz4K5VatSA/3vv47p/8YNJtsKCKARP3CAgT737zum/+ROTAxX3xkzMuJz4kSgZEmuzA0zUL4PNzdq1O/eZZKzBQssM+K7dzOnypMnDPqZPZsr68hIm96SQtIla4asGFhlICYemoi9d/fixZsX6FCqg8PHyZg2I6YdmYb+2/vjyvMriFHHwFXlCp9MPiiWrRg6lu6ICrkqoF7Beg4f2xYSzLWii0NX5PXqMSCmc2dt24YNwKxZNPL20rw5ULcuk3BpGDOGm3OrVtnff3Ln0CEm7bp1i0nKALpJatfmKvnuXeeOHxfHjetly/i3APCOoEULXuCdmYJBIVHQrMqzu2XHyJoj7V6Nn39yHndDjf9Ox+4fi9zuudGkSBPsur0LTyKeoIBHAdwJvoNYicXEuhPRvFhzu8a2FptdK+/ptDWAeQB8AIQCOCcijd53nkMNecaMTPCkm141Npbh+bGxzNpnK3Fx9M2+eqWfw/zpU7pwQkNt7zulsGoVV+Rv3jA6UsPgwQyjf/pU2/b2LRNXHT7MKMvu3bmCtoezZxmNeeWKfvv27XS37Yu/RJdC8mTCgQlYc2kNLvW9ZLdvvN26djgTdAZlc5R91xYaFYojD44gj3se3BxwE5GxkfCb6wevjF5oXbw1/rnzDwK+DHBK3pT4sNm1Eh8i8peI5BWR9CKSwxIj7nBy5aL7Q5cbN5ihzx4jDtDfmy4d847oEh7u3M235ETp0pRzTpqkLVj57Bn93KV0EvJHRHCVvnw5UwmEhTHUfvdu+8ZPn56+dbVBBr2ICOU7SsF8X/N7HOlxxCEbnN9W/xZxEod1n6zDpk83YdOnm1AtbzX0rNAThb0KY9WFVciSPgsaFGqAZ6+fYfut7Rhbe6xZIy4iuPD0AgIeBxg9Hoc/tnu+pkj+yR769WNu6o0badSfPqWvtn9/+/t2cQE6dgT+9z8m3FKpuEofM4arQAXuFxQtyjzlq1YBhQtrXVoNG9ItFRhI/3fOnDTcmn+Apk2ZI/7mTdsLX5coQaXL0qXccAV4oZ02TXGrJGNOPz6NNRfXmH39szKfoVJuxwgaquatipI+JbHs7DL09u+NF29e4OczP+Ns77MIDA1E983d0alsJ1x4egGx6li4urjGW0z52etnKP9TeZTwKYGMrlr104OwB6iWtxo2fbrJIfPWJfkb8sGDKRsrWZKGPCiI/9CaNKv2Mn06/eQlS3Ijdc8eughUKt629+vHohWppbyaISoVq+i0b88N4MBAulhatgQWL6Z7o3x5GvVTp+gKqViR5370EQ341atc2ds6/urVQJMmwMqV9Jfv2MEsiJ85VsmgkHDce3UPc06YzlWeRpUGNXxr2GXIR+wZgUfhj/TahvwzBFdeXEEm10xoX7I9fLP6wjerLwp4FMCnGz5FOtd0WNJiCXyz+sbrUsmROQfal2qPCjkrYNiHwwAwF3nJhSUx8IOBNs85PlJOYYnwcObLzpfP8UUiRCil+/dfKiLGj6ehuHGDF5JPPgFGjnTsmMkNEaYKDg6m4S5dGvjzT2YoBKgiKViQmSE3/peIPy6OEZdHjtAA20N0NLBzJ+/IatZk1kOFZIta1Cg8tzACQwONXivoURC3Bt6Ci8p212njVY2RKW0mtCre6l3b8D3DkTZNWkRER7wrAAIAB+8dRO3ltbHl0y0Wb25efnYZ9X6rh9sDbyNzusxYfWE1Fp9ejAPdDtjlVzfnI08dSbMcRY8ejATU5d495vCIiEicOSVFgoJEvL3125YvZyX6vHm1bbNni1SrlrBzU0g2rL+8XjJPziwYi3ePzJMzy4bLG+zu++j9o+I721fexr4VEZHYuFjxne0rGAvps7WP0fF7bu8RtZVR4B3Wd5Cph6ZKbFysFJ1XVPbe2fv+k94DzER2puzCEo7m3DmuLHXx9aXvNzAwUaaUJPH05Gr7wQNtW+fOzPf99Cn3Fz74gKXaVq40349CqqZNiTbwzuSt1+aTyQetS7S2u+9q+aqhhHcJLD+3HACw9vJa5MuSD5PqTsKoWqOMjv+o0EdWr6RH1xqNWcdn4dczvyKHWw7ULVDX7nmbI/n7yBOSQoUYLl65srYtOJgh/7lzJ968khrp03MTs3t3qlTy5gUuXKAravZsSkW7dtX6yBUUTOCicsH0BtPRfXN3RERHIHO6zJjeYLpdLhVdxtQeg083forOZTtj/IHxmN9kPuoXsq0QS1RsFP65/Q/i1HF67UW8iqDf9n74p/M/TpUqphwfeUJw9CjQpg1XkfXrc8XZty+10Ausy4qW4omNZc6UxYtp2F1dWW3oiy9MH3/gAJUvL15Q6dKnT/IsiK3gUHR95Y7wjRvSeBXD7iOiI3Co+yGbje2NlzdQbH4xNCrcCBnTapUqR+4fQa7MuXCuzzmHGHLFR+4otmxhTnM3Nxam+O47Zh1UME1kpMijRyIx8VTEWbSIxTEWLBDZulWkY0d+xiEhCTdPhSTL+svrBWPhEN+4IUfvHxWMhey+vdvuvlr83kJ+PP7ju+cv37wUrx+85Hbwbbv71gBnZj+0liSxIhcB1q9naHdYGNCoEXOHW1JZXYTnZMqUfBMzXbvGrH+5c8fv4nj0iKtqTUKyPn0cmzUyIoL7DCdOsAaphs8+Y+CQo2SkCskWtaix4twKdC3f1aGrcQ0nH51E5dyV7V4xnwk6g+a/N8etAbeQMW1G/O/f/+FR2CMsabnEQTN1UmRnsmbUKGDCBKBbNyZ6unWLFe8NozhNoVLxtj85GvG4OOrs69YF9u7l51CqlOmcKFeuMItkaCh14m/eUE544YLj5nPuHAOKdI04QEPuqMRnCskaF5ULulfo7hQjDgBV8lRxiNujYq6K8M/tj1/O/IKQyBAsPLUQI2sljCw5dW52BgVRMXHzJuD93654nTr0fy9f7pio0KTKkiUMwLl9W5s/ZsYMXtAOHNA/dsQIPjQV5du356p82DAG3fy/vTOPi6r8/vjnkU0UKFHEDTc0F0TF3HDNTDNFNELLilz6VaZobmmahqJWpqa5p6KlWIolwlc0UQv3BUSlFEnTTHBXAkRIZM7vj+MwLMM6c2eY4Xm/Xvelc2fuveeKnDn3POecjz6oXp2j/uzsvE8F169rfjYSiYkQ0DMAA38ciMTURAxqNgiNq+nYH1FCKmZqJSwMWLsWiIjIuz84GNi1C9i61Th2GYIePThd0b+/Zl9WFqdYYmPzpk2qVOEvvdyLjhkZLBiRlaW/btZu3bisc+ZMduaXL3O657vv+MlBUmGZEjkFG89uLLDfQljg0MhDaF6jYOPX7ku78fOFnwvsF0JgWtdpaFq9aYH39MmgrYOw+9JuJPgn6N2Ry9RKbpydOSLN/yV2+TLXhJszakecG0tLniKZmZl3/zPP5J1eCPBALAeHsjvxO3f4izIigrsxAWDbNp7B0qgR66p27MhRv3TiFZ5u9bvBuaozEvwT8Kf/n/jT/0+sH7ge9jb2cK3mqvWYu+l3sfvybnRx6ZKzudV0y6kZV5oFLy3A0peXGiwaB1BBq1ZUKiIPD6K5czXVFMeOETk5Ef3+u3FtU5rZs7kqJHeX2q5drJeZv3Nt+nRWk8/I4NeZmUS+vkSTJpXt2kuWcKXP4MFE3bsT1alDdPKk5v3z54kOHiRKSyvb+SUmxcP/HtKpxFNat/THrJmqUqmo7Zq2FHYxLOe4Xt/1og2xGwo9b1Z2Frl+40pRV6Ny9gVGBZLfDj/lbsZAoJCqlYrpyImIrl8n6tmTyNmZBZnr1iXascPYVilPSgqLULdvz19mTk5ENjZEG7T8YmRmEr3xBlHNmkT9+/O/1WuvET16VPrrHj/O7fn//KPZt3Mn/7uboli0RGfWRK8hm7k21H5t+zybVaAVfX9WI7gdGh9KHms8SKVSUdTVKGr8TWN6/KTo/zPfnfmOen3Xi4hYtLnGVzUo4V6CovdjCKQj18Y//7B6+uLFphkFhoQQdezIc01eeokoKqr4Y4jYgTo4EHXrRvTBB0SffMIOPSZG++cvXeL6+QQdfhHGjCH64ouC+z09iX75peznlZgsqZmp5PSVE8Xfjc/Zd+bmGaq9qDY9eqwJFnJH5cVF42pyR+XmEo0TFe7IK2bVCsClh0uWcP343bs8rjYsjPOzpsDGjVw2uXw5lwju28dVJdu384JmYRDxfPWtW1nbVE2DBtx5GR5e8JgmTXjThfR07ULM1arxeybCyLCROJF4osB+W0tbHB55GFWtqxrBKtPE3sYeEztPxNxDc7HFZwsAIPBgIKZ2nZqnO1IIgYCeARi9azRsrWzxduu3iz23ZSVLzOoxC9MPTMelB5dwdNRRxe6jXKDNuyu9GT0iP3CAqFEjolu3NPvCwri7sKgOxPJCdjZRgwZEp07l3b9pE1HfvkUfm57OqZTs7Lz7b98mcnTUq5l52LaNnx5yp1EuX+ac+YMHyl23JKhURJGRRBMnEs2cSRQfX+hHZ/06i14JfoUu3LmQs809OJc813uWejqeJG9Uri0aV6NSqajjuo60+dzmEp9bHZWbSzROJCPyvGzZwrXRzs6afd7eHOEeOqQR8S2vpKTwsK7cw7sAnv/y8cdFH2tjw2o9165pxJIBICFB2cFfPj6s4dmlCw/Mun8fWLMG+PJL7ZG6oVCp2J7YWJ7QmJzMTzRffcW19fmY0HkCmi5vChtLGzSu1hjZqmz88PsPWNpvqcH1G82B3FF5RlZGgWhcjRACx0YdK5W0W1Z2FrybecOqkhXmRM3J816rmq3wWsvXdLa/vFAxHXlmZsESPID3ZWQY3p7S4uDA5YIJCdygoyYmhqXWisLCAvjgA26137KFm26uX2dZtLFjlbPZ0pIFJcLCuJnI3p4Fkj08lLtmSYiI4E7VmBj+NwV4sFenTsDgwQVGNjjaOmJsh7GYf2g+ggYFITguGGmP03DgygH8ejWv0HMb5zYY5j7MUHdisvh39IfrMldYVrLMSbFoo7T6nNmUjY1nN8K7mTcaPtMwZ3/4n+G4lnJNOnKTx8sLWLaMIzB1m/2FCyxD1rNnyc9z7hw7gSZNWAbOUBGZhQU73nfeATZt4hb3Eyd4VszXXxd//Jw5wOTJ3BZfuzZw6xaf74MPlLfbx4e38kJ4OI8ssM0VBT73HNC1K8v6+foWOEQdlX9y/xN8ceQLpGSm4H7GfTRx1KwjbL+wHQ8yHkhHXgLsbezxVZ+vYGNhozUaLys2FjYY13EcriZfxYzuMwAAKZkpWBm9EiG+IXq7TnmgYjryIUOAkBCOut5+m5tUNmxg525nV/zxmZksyhwTw4/hMTFAzZrsFAyVJpg2jcWhe/TgxUJnZ40EXXFYWfG9BgYCiYk8hrck922O2NjwDJn8pKfze1pQR+X9f+gPpypO8Gvthwv3LuCTbjzgKzkjGYuOLUKIbwg+2f8JUv9LLXCOhs82xNSuU/V6K6bMiLYj9Hq+5IxkOC9yBoHwRPUE285vgxACWdlZqG1fW/HuTkNTMVv0AZ7tsXs3sHcvpyr8/FiRvSR89hlH4tu3s1NUqXg+y6NH3FZuSLKz+bp2dhVXAFoXjh7lAV0nT2q6en/9lb+or10DKlfWelhyRjIaL2uMbb7b0LleZ7guc8XhkYfRvEZzBPwWgKS0JKwbuA7uq93RplYbdHXpmnNseEI4rC2sET5MS4WQRG8M+GEABj43EHfS7+BK8hV80+8bOC10wpwX5mB69+nGNq9MyHnk+qRhQ6K4uLz77t0jqlJFNreYIp9/zrqrb73FjU81ahD99luxhz38T6PTOv/QfHrz5zfpwaMHVH1B9ZwZ1CF/hFCHtR1yKloyszKp3tf1KDopWpFbkWg4mXiSXL52oVtpt6j6gur08uaXye5zu2KbicozUEKzUwixUAhxUQgRJ4QIFUKUYJi3GZCeXnBuuZ0dR8dPnhjHJknZmT6d1zt69eIns6tXeRpmMeSuGffv6I/IvyIxZvcYDG4+OGfOxmstX8OjrEfYc5mnRQadCULbWm3Rvk7BoEqiXzrW7Qh3Z3eEXgzF+E7jsfevvZjRbQasLExw/HQx6Joj3wdgOhE9EUIsADAdwDTdzSrnDBjAYgvz5vHre/eAGTM4NWNZMZcdTB4Xl8Jl6EqAg40DJnaeiICoAEQNj4L3j97IJtZvtLawxps/v4nO9TrjZNJJ7PPbpy+rJcUQ0DMAviG+WNF/BZyrOmNKlynGNkkRdPI6RBSZ6+UJAAWX+M2RwEBeZLx8mV+HhnJ+unlzFmgODWUBhvJMYiLngu3tucOzkFwwsrJ4fvkzz3D3Z0n5+29WIWrWLG+9uhkzofMEPF/7ebg7u+Po9aP4tPunaFa9GVSkgv8efxy7fgz1n6kvo3EDoo7K/UL9sOTlJYpF4ycSTyAlM6XAfqeqTmhXu50i18yDtnxLWTYA/wPwdhHvvw8gBkBM/fos2GzVAAAT4klEQVT1DZBNUph//+VOwCpViKZO1XSJ/vwzD4cqz7lydU749deJXnyRyN6eJxE6OPC0Q3X+/6efeKhV8+Y8i6V3b9bfLIr//iPy8yOqXp2oTx/ONw8bppmgWEGYf2g+vfXzWzmvFxxZQJgNOnztsBGtqphEJ0VTl6AuiubGay6sSa1Xt6a+m/vmbM1XNCe3lW56vQ7KOjQLwH4Af2jZBuX6zKcAQvG0Cqa4zeQXO9WMHctOMT+dOxPt3Wt4e0rCwYPc3n/zJr/29ydq1YonHN68SbR8OTvtXbt434kT/LnHj4k++4zb7ItqRZ85k2jAAB4FQMSTEgcP5i+7CkRKZkqegVDeP3jT2IixRrZKohQLjiyg17e/nmffi9+/WKIBX6WhMEdebGqFiF4q6n0hxHAAXgB6P71QxeHhQ8DRseD+6tVLpv1pDLZs4cahWrVYNCI4mBf3+vcHfv+dyyiTkjjnP34819oDXGYZEMDHx8byoC5trF8PREVpZORsbblJqUMHYMECg9xiecDBxgGd6nZC69WtYW1hjUdZj2BnbYfNcZsBACG+IXi5yctGtlKiL8Z0GAPXZa44f+c83Gq64dC1Q/j7379LNOBLH+iUIxdC9AMvbvYkIi1dFWbOK68AS5cCo0ZpOkSvXgWOHOGOy9JCxLnrKlX4y0AJcisE/fkn0LIlV+DkHk/Qqxdre+afeFipEo8AuHWr8PMnJxec2VK7Ngs4E1WoWvcZ3Wcg4lIE3Jzc8Hqr1/Fh+w9xJfkKem/qjQ51OxR/AjMmMTWxUMWePo37oFO9ToY1SEfsrO0w2XMy5h6ai62+WzHn4BzM7D7TYBUyupZYrABgA2Df04FBJ4hotM5WGRKVihf9oqOB+vW5fdy2mDbhpCTgjz+A1q15Vkn37jxg6f59YOVK4PPPtUfqRXHoEDBmDI/UzczkxdR16/QvPTdgAEfIw4fzwuzFixxhnzrFDU4AN8c0acKzUV5/XXPs7dv8Xv5hXbl56SX+Ess9t2XzZtbgrEBOHAA8XTzR0qkl/kr+Cx91+gi2VrZYcWoF/Dv6w9G2lP8/zIy76Xfx2W+fYbLnZNhYajpo155ei2qVq+nsyL+N+Rankk4V2G9tYY0FfRbAwcZBp/NrQx2Vr4lZY9BoHEAFbwhKT+cFPHd3oo8/JnrlFaL69QsXUHjyhAUSqlVjIQdnZ14c3LSJaORIonHjiKLL0Ohx9SovCoaFcf750SOWWevQoeh8dFl48oTIx4eobVsW1HB3J7K2JpoyhdV/nn2WyMKCr9+iBdGIESxYsXUrkZsb58mLIi6Oc+uTJhGFhvJ5nZyIYmP1ex8mwumk0+T0lROlP06nvx78RY4LHOn+o/vGNqtcMGDLAFp5amXO69gbsVRncR2tY2xLy4Q9E6j92va0/vT6nG3iLxOp5sKaejl/YagXtfWdG1eDQnLkFbdFH2BxiTNnOBK1eDpZbflyjkSjogp+fvFinqcSHs7leI8fawYufftt2e2YOZPTGosXa/YRcdojKIhHv+oT9XiCX37hNM6VK5oSSg8Pjta/+46ja1tbIDKS0y8jR/IQqeIi63/+AVat4kFkLVoAH37I81xKgkrFw6rOnuU0zsCBgLW1rndsVIZsHwLPep44f+c86jrURWCvQGObVC6IToqGT4gPLo+7DBtLGwzeOhgvNnoR4zuN1/ncN9Nuwm2VG86POY/a9rUBAL4hvuji0gWTPCfpfP7CePj4IWb+OhML+yxUJK0iW/S14e7OWpK5efyY6JlnWGghPy1aFPz87dtEdnZcdldW/Py0a2b6+nIkrDSjR3OknfsekpI4Ok9JUf76alJTWX6uTRuiyZOJXniBqGnTvDqfJkjcrTiq8VUNGY1rQR2V6zMaVzNhzwSasGcCERGdu3WOai2qlSPqbKpACktogYgX8HIjROERp7aFvOrVOYrMzCx75NixI7BrF0e8atLT+angyy/Lds7ScPYssGhRXvvr1OEGoL/+MtzM8Hnz+JqbNml+LoGBXEkTFmYYGxTA3dkdfV37okWNFhU+N56fgJ4B8AnxgXtNd0zrOi3PGNuA3wKw4eyGAsdUEpWw+83dcKvpVuS5p3adCrdVbpjadSoCDwbi4y4fo4pVFb3fQ3lAp1krJo+PD6czVCrNvqAgoFUrHkubn969eeFOTUwMLx7a2gI7d3KqpSwMH85piDFjONWzfz/Qrx+PpC1OKEIfuLoCp0/n3ZeaytP/6tVT/vpqQkJ47okQwOHD/CXm7MypHW2jZk2Iza9uxqfdPzW2GeWODnU7oI1zG5y9dRbvtXsvz3setT1ga2mLo6OO4tioYzg26hiW9VuGbFU2XB2L/72obV8bw9sMx7vh7+Lo9aMY3d606jBKhbYwXemt3KRWHj4k6t6d6PnnuZFl8GDuZDx/XvvnL1/mDsixY3nR086OOzunTWM1+LZtiS5eLJstd+5wOqFlS266WbGCFyYNwcmTvHC7Zw8vriYmEg0aRPTuu4a5vhoXF14sffVVTqlMnkzk5UUEEB09alhbJAbjyoMrdOjvQwX2q1QqarumLYVdDMvZ5/WDF604uaLE576ReoMqz6tMi48t1outxgZl7exUYis3jpyIneWuXUSzZxMFBRGlpRX9+Rs3uMLFyopo+HCiCxeIxo/nvPqzz7JzHzpU09loKkREcFWKnR3fy4QJRJmZhrXho4+IunThsQHqfP2iRbyW4e6u/woeSbknND6UPNZ4kEqlouikaKq7uC5lZJVu3EN0UjRlZhn4/7JCFObIK3bVSlnZs4dzygcOcE12aCjwv//xtnMn55odHbmm3JQgYmHnKlWMUymSnMy1/C4uXL9++jSPl92/n9NakZE8mExSYSAitFvbDnNemIN1sevQz7UfxnZUUFu2nFNY1UrFXuwsK/b2PLqWiJt2Nm7k8rx791jqbd481n1culTT8WkKCFFwzrohqVaNF1Z79OC57q++Cvz4I3+xVKrE/96SCoUQAgE9A+C/2x8qUmH7kO3GNqlcIh15WejSheu+N28GHjzgBcHr19lxBwcDTk7siP77z7QceXnA15eV7SMiNLPdt28HqlbVLRq/dAnYt49l/QYN0owpkJR7BjUbhHmH5uH/2v0fKlsWMm65giMdeVmoVAnYsYMdQlYWN87cvs1ant27c0ORm1vFFTTWhQ8+4BSKhwfg7c0z36OiuDyzLC3+RDwALCiIz3f3LjBxIv+MevTQu/kS/SOEwLF3j8HawrQbw5REOvKy0qoVD50KDgYmTADeeINFFAIDNd2hktJjY8NrDQcOsDDyiy9y12xZUz779vHP4uJFzfybyEj+ef39t8l3jVYUpBMvGvNe7ExK4ih51y5WwHnrLWDWrOKHYpWW69d5YfPcOa7JHjuWW9MlxmfUKI7ux43Lu79LF2DOHKBPH51Ov+T4EtxJv1Ngf82qNTHRc6JO55ZI8lPYYqf5NgSlpQE9e3JjT3Q0V5pcugQMGaL/a7m4cPPKnj3AihUFnXhKCnDwIJCQoP9rS4omK0u7jF3lyvyejvz4x4+IuxMHBxuHnO3c7XPYen6rzueWSEqMtppEpTeD1JGvWsVT/nKTlUXUsGHZJhSWlS+/5Pryrl25mah3b27+kRiG7duJ2rXLKzV35gyRoyM3hOlI+MVwar26NWWrsomIKFuVTa1WtaJdCbt0PrdEkh8UUkduvhF5XBznV3NjaclRelycYWzYuRPYsIGvd+QIt7y3bZt3pgrAYhKrVgFr1gA3bxrGtoqCjw9Xu3h48LTL8eN5cfrbb7kSRke8nvOCZSVL7Ly4EwCwI34HKltWRv+m/XU+t0RSUszXkTdpwimV3BDxfJT8yjdKsW4dy6O5uPBrS0uuMT9xgvP3ALB6NQtUREcDx49ztcv33xvGPn2hHos7ezZXh6SlGdsiDZUq8YL0ypVsl7Mz/x/w9dXL6YUQmN1zNuYcnINsVTYCDwZids/ZEBVMRENiXMyzaiUjgwdhbd0KxMdzJUmHDuxo7O25RFBJbtxg7cpTp3gOd79+moqJypVZVejBA7Zz1izuYGzUiN9PSAA8PTlqrFtXWTv1QXo6Dw5LS2Pdz4gIXmDeu5cre8oDQvDTWf4nND3h9ZwXZh+cjRFhI2BjaSOjcYnBMb+IPDMT6NuX5dvmz+cpfv36cST2779lr0cuKWfO8GP87ds8nnb/fn597Rq/HxvLNjVrBvz0EzBsmMaJA7x/8GCuUzcFFi/mBqjoaE5d7NjBX5jvv28ce27d4jTVkiW8uG0A1FF5cFywjMYlRsG8HPnjx8BHH7FCTa9egJ8fR+SXLnFzztdfKydqrGbiROCLL/hRfuNG7vC0suIvlw8/5OhVPfs7O1t756eVFb9nCuzYAUyalHeu+8iR/GRh6Hx/SAirKp08yTX+XbuyfqoB8HrOCzuG7pDRuMQomI8jT0vjlEloKKcmEhL40V4tJOzpyQ0mSpKRwflvPz9+bWPD5Y///ssdiiEhPE/k5Zf5/cGDgR9+4OhdTWIiN7B4eytrq74QIu88d4DXIogMK7Z8/z4wejR3gX7/Pa89/P47R+f5Z60rgBACr7Z4VUbjEqNgPo580SJuxvH1Bdq04UW3FSv4EV+l4rx1tWrK2mBpyVtqKr+eNYtryiMjOVd+7x5P8fv4Y37fzY3Vb9q2BaZOBSZPBp5/nlvKGzdW1lZ9MWQIsHBh3ieItWv53mrVMpwdERGcA2/dWrPP2ZkbgkJCDGeHRGIEzGexMzyc0xnW1izY6+PDTn3cOGDBAs6dd+umrA1WVsDQoeyIV6/myX1HjrCDfucdjlADAnhUa1AQv545k6NvtfhxVJRpdYVOnMgzZ9q04cXOP/7gLTLSsHaoVBoB7dxYWBR8YpBIzA1txeVKb4o0BHXqRLR/P/89KIioWjUW8q1Uiei554ji4/V/TW0kJxP16kXUuDGRpSUr7wwdqhFKSE1lUYrsbMPYYwhUKqIDB4i++IIoOJjokf4EdEvMnTvceJWQwK9v3uTGnwYNCgpmSyQmCsxefHnYMF7Y6taNH6eHDuVIOD2dc6SGyl0++ywPfIqN5Wi1eXNONahZvhzw8ioo+mzKKFzeVyKcnLhSpXNnnl9+7x634Ds68oKzRGLG6DQ0SwgxF8AgACoAdwCMIKIbxR2nyNCsrCxeZDx+nCtE4uN5EXHvXuPlm5OSuJO0RQv+8/hxbkb57TfTyYGbEtnZ/MXp6gp06sSLydeuAe+9B5w9axp1+RJJERQ2NEtXR+5ARKlP/z4eQEsiKlaqWtHph2fOcKVK3bpcP25sYYf0dGDbNs4bN2sGvPmmFDVQin37gOnT+csyN2PGAHXq8HqERGLCKCL1pnbiT6kKwPhaXB4evJUXqlblVI9EeZKSuI48Py1bAufPG94eicRA6JyoFULMF0JcB/AWgM+K+Nz7QogYIUTM3bt3db2sRFIQdSdtRoZmHxFXNHXqZDy7JBKFKTa1IoTYD0BbQfCnRBSW63PTAVQmooDiLmowYQlJxWPECODqVU6j2NvzRMlz54Bjx/QvKCKRGBhFcuT5LtAAQAQRFTspSTpyiWJkZ7PzDg7myNzLC5gypexScRJJOUKRHLkQoikRqScTeQO4qMv5JBKdsbBgqb2xY41tiURiMHStI/9SCNEMXH54DUCxFSsSiUQi0S+6Vq28pi9DJBKJRFI2zKi9UCKRSCom0pFLJBKJiSMduUQikZg40pFLJBKJiSMduUQikZg4emsIKtVFhbgLLlc0RWoAuGdsIwyIvF/zRt6vadGAiJzy7zSKIzdlhBAx2jqrzBV5v+aNvF/zQKZWJBKJxMSRjlwikUhMHOnIS8/a4j9iVsj7NW/k/ZoBMkcukUgkJo6MyCUSicTEkY5cIpFITBzpyEuJEGKhEOKiECJOCBEqhDBLxQIhRD8hRIIQ4rIQ4hNj26MkQggXIcRvQoh4IcR5IcRHxrbJEAghLIQQZ4QQu4xtiyEQQjwrhPjp6e9vvBDC09g26QvpyEvPPgCtiKg1gD8BTDeyPXpHCGEBYCWAVwC0BDBMCKFF1dhseAJgMhG1ANAZwFgzv181HwGIN7YRBuQbAL8QUXMAbWBG9y4deSkhokgievL05QkA9Yxpj0J0BHCZiK4Q0WMAWwEMMrJNikFEN4ko9unf08C/4HWNa5WyCCHqARgAYL2xbTEEQggHAD0ABAEAET0mon+Na5X+kI5cN0YB2GNsIxSgLoDruV4nwswdmxohREMAHgBOGtcSxVkKYCpY3asi0BjAXQAbn6aT1gshqhrbKH0hHbkWhBD7hRB/aNkG5frMp+BH8i3Gs1QxhJZ9Zl+nKoSwA/AzgAlElGpse5RCCOEF4A4RnTa2LQbEEkA7AKuJyANAOgCzWfvRVbPTLCGil4p6XwgxHIAXgN5knoX4iQBccr2uB+CGkWwxCEIIK7AT30JEO4xtj8J0BeAthOgPoDIAByFEMBG9bWS7lCQRQCIRqZ+0foIZOXIZkZcSIUQ/ANMAeBPRI2PboxDRAJoKIRoJIawBvAEg3Mg2KYYQQoBzp/FE9LWx7VEaIppORPWIqCH4Z/urmTtxENEtANefisUDQG8AF4xokl6REXnpWQHABsA+/v3HCSIabVyT9AsRPRFC+APYC8ACwAYiOm9ks5SkKwA/AL8LIc4+3TeDiHYb0SaJ/hkHYMvT4OQKgJFGtkdvyBZ9iUQiMXFkakUikUhMHOnIJRKJxMSRjlwikUhMHOnIJRKJxMSRjlwikUhMHOnIJRKJxMSRjlwikUhMnP8HE32nqv+k3m8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 3 / 20 总距离： 474.2391391387637\n"
     ]
    },
    {
     "data": {
      "image/png": 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K7ssv4z8mPqeaXp+y/dlRUTSW775rPt6sGeCKWEa5cix4tm8fXVCnT7Ms8fz5bEptYMsW1oBZvhyoWpVJUitXsszuzp2v32Z9P2W7fzMt/CFrpG9SkOxBZTJnZtJMkyaUFpYoQXXE3r22+X7//jtuTfCAAOq4Rawb5g8+4C62XTvKGwEao9DQpOnF6SgeHtwNX7rEdncGzp7lHYzaZMjAgmAtWtDvnzMnSxJky8ZG1gaOHePPz9QiZ8hAbfqxY8nSOk5DIyXi9I5cUZRCiqLsVhTloqIoFxRFCVBjYarQqxelhv/9x4zJwoUZgMydO/FjM2Y0rzwIcOeakOTvww+52yxXjpmYnToxqLd0qTrVCl2ForC4Va9eVJMAwMWLLAnwxReuOWdUFA149+6sKfPTTzTsX3/N10V4YZk6lT+LSpVYYwbgBcaVJYs1NFIb1hzn9jwA5ANQ+X//zw7gCoByCR2TJMFOZ/nsM5E+fUT0ej7X60UGDBDp0SPh4/R6kcOHRX74QWTePJFnz1y/VjXQ6UTGjhXJmVMkb14GI6dPN35+tWnYkMFNU0JDRXLkEHn6VGT8eJEqVUT8/ERmzRL55x+u6/PPRQoXFomMfH2YLcFKWwNa6TWIltpIrwFqxBPsVF1HrijKegCzRWR7fO9RRUd+/jwDYCEh3NF16MCdm1o8e0Yf8atXrK198CB3rlu3pog62y4jKoqBYj8/db9PS958k8HVSpXMx4sV4867Xj0GiKOj2Sz6zBmuLWtW3lWVKvX6EDV1wCl1Lg1zEit/m1ZJEh25oihFAVQCcMTKa30URTmuKMrxYFtUIwmxfDmNd5YsbPDw88/0m0ZFOTevKT4+NN6TJxu7zB89SrWFtb/Chw/ZdNm03ogz6HT0rZuoM5IEDw/WaHelEQdYU2bNGvOxEydYQyZbNp6/eHHq8PfuZTB23z62wTMx4oB1xYlptqBG2kMLUFtgbZvuyANANgAnALRL7L1OuVYiInj7f/ascSw2VuS99+jKcBUHD4q8845Ihgy8Nx42TOTVK7okBg0S8fYWadCALok2bah/dgS9XmTaNJF8+USyZ6cGfe5cx+Y6d06kd2+u+7PPRC5dsv6+yEh+h0nJjRv8jF9+KbJ/P392BQtSix8VRZeK5XoXLBBp2dKly1Lzlj293v5ruA64UkeuKEpGAGsALBORtWrMGS+HD7NH5ptvGscyZKDuedMm15zz8mVmOn76KWVzJ08yGPjpp8DcucCRI8D166wR3rQpg6uVKzvWLHnuXFYN3L6dJWA3bOC8v/9u3zwHDrCJcvHirHeeLx93waYurR07gCpVAG9vBoC//jpugNdVFC3Kn2V0NCWdW7cCf/zBbM9MmVhjpkMHY42cVauoPjIEQzVSPVq2rYpYs+72PAAoAJYAmG7rMU7tyA8fZpafZRBu7lyR//s/x+dNiH79mFFoSni4iK+vSNmyzH48eFAkVy6RiRNFNm0S8fBgZuT+/fadq0gRkePHzcf27GFWoz3UqSOyfLn52Lx5Ik2b8v8nTnB9f//Nu4obN0SaNRP59FP7zuMq9HqRX34RKVNGJHNmfp4dO1x+WlfvyLUAqBHtjsV+EM+OXA1DXgeAADgL4PT/Hs0TOsYpQ67Tibzxhsjixcaxhw9FSpYU2brV8XkTomFDkS1b4o7XqUNjeO2ayLvvGtek04l4edEQ1a1r+3l0OhFF4b+mhIeLZMli+zyxsSJubiLR0ebjYWHGebp1E/npJ/PXnz2jiyg42PZzpTGSS7WSHo1XWjfkrrhox2fInXatiMgBEVFEpIKIVPzfw0U+DjDvevVqVgOsVQto354Bse7d2b7NFfj7xy18FRZG5UyDBtSJ79/PhCCAqotixZgJeuCA7RIFNzc2jdi1y3x8+3bzeuS2zOPry/6eply/zlrhAIOHlklK3t50eVgepwY6XfK10ksmrAXkDOMaaZ8kbVhhzbq7+qGKjjwmhjvwFStE7t1zfr6EuH6dwbfZs0VCQkROnWJgs29f7sbz5xfJlk1kxgyR777jLn3nTpELFxjQs4fVqxn0W7NG5MEDkT//pH560yb75hk5kgWoQkP5/MkT3h388AOf9+nDtZry4AF35IZj1OD5cwZas2UTcXfn3c2ZM+rNrzKu3iWm9V2oPaT178IVnw+ucq048ki2hKDISCaWrFljv7E6fVqkVSsapKJFRb7/3li97/59GnZfX5GePWnAg4M5Nm6c/ev8918qTfz8OMe2bfbPER1NA+rtLVK1Kv8dNMioTrl0iRecOXNEHj2ij79GDZHhw+0/V0I0bizy8cd0f716RXeTnx+/sxSIZsiThoTcDmnlu9AMuSvYsYOGq0EDBvW8vUWWLlVv/thYkcGDOe9bb/HfgIC4pVpDQkSmThX56CNmLz54oN4arPHoEQPET57Efe3UKV6cfHwYVJw5M65/3hlOnWLw1lLa2LevyLffqnceFdEMedJgarTTauBXM+RqExZG7fmePcaxCxc4FhSk7rlCQqgIefo07ms3bzK9/P/+j5roTz+l7jwFuxpsIjycF7FcuRhMbdeOO/5Bg0QKFWJg9d9/jUqjxYtFunZN3jXHg6sNbVo3XraSHi5oSWnI0271Q1PWr6eG2rR8bbly1CwvXw6MGqXeuXx84i9kPWoUA6CGGt89e1JvPngwNd1q8vw5cOUKW9wZApz2cPQov5voaGromzSJP1WyUydmYx45wiDrr78y9b5QIa6jenVqxXfsYHXI3bsZQE6HaIHO9IOhzr21cbVJu/XITQkPt55lkDMnX3OWkyfZb7JePZa6vXHD+vs2bwY++cR87KOPqHhRq7yACC8URYqwIXLZslzbq1e2zzFpEtVAuXMzHX7IECZciRX1zenTTHxaupTJR97eQM2aTLHv3p2NNXbsABYtApYt4/ezYwcrLaZAtCYTGmqRlGUE0ochb9KEGZKmNV4iI2l8mjVzbu6tWzmHvz8wdizg6UlZ5MWLcd/r6RlXe/TiBUvjqlXmdsEC3oGcP88LzK1b3BUn1BDDlNu3WfL36FFgxAiWsT12jDJKa71HL17k5zUt77t9Oy9qV6/SePv7U5oZFsZ59u51viG1FdTIFNRqeGikSqz5W1z9SJZg59ixVJv8+CODem++STWFM2Va9XrOs3Gj+fiPP4p06hT3/SNHirRubewjqtNRBtizp+NrsKRyZUofTbl/nwlKr14lfvy8efRpWzJ+vMiQIXHHT55kQNM0qPvjjwyeGqSOBtq1Yw9UF5Ee/K5pBS1W4BhIdz07LRkzhmVTb9ygK2DCBO5enSmRFxrKRgyWu/pOnVipz5IRI7hzLV6cTShKl6Yfe+pUx9dgyaNHnN+UvHn5ry1upKxZuXO2JDSUr1lSqZLRfXPnDs8REcH6NBUrGt+3Ywe/k7Ztbf8sGmkW7c5HXdJHsNPAO+/woRZZs/JC8OiR0VgCvFj4+cV9f+bMLN16/jwvJkOGsBelmvVW69Rh5uvQocaxn35iS7XChYGCBemn7tvX+nlbteLr+/cbvytD82PDxenJE7pftm4FsmfnRenyZRYyi4hg383Zs9kdqUwZZnTevs115cih3mfV0HAANWqZp7h66Na26a5+pIoOQbbSv7/IBx8Yy9Y+fMgEnJ9/Tp71BAYy4WbkSBbsGjyY9VuGDKEM89Ahul++/z7+ObZto5SwUSOW5PX2Fpk/n6+FhbHWzWefiRw9yozT6tVFBg6kq8nUVRUZyezbHTuM7iQXorlWUjeudrckNr89vyfJ9buGdK0jd5aTJ2msixVjcawNG4yvRUbSp+zjY8yg/OYb233vOh0N57RpLMylRkJOUBArNr79NnXrw4aZv379OjX0Ju3S4hARwQzYFSvMk4mmTxfp0MH8vaGhzGq9dcv5tduDxYVD7T8uVxoWzUccl6RKxjL868zPQDPkqcmQR0UxcJgzJ/tGXr3KPpNFiphXXxRhQPHwYSYE2UpICNPiK1ZkP9AqVfiwloXpKGXLssGEJUWLOpYM1bkzmz9Y0ro1DX9S8OwZk6myZxfJlIlB1GvXkqxyoRp/rNrdQ1yS2pAn9q8tc9k6rhbxGfL0E+y0B0Ozgzx5KF10c2NjhpIlKaP76y8m9+h0xmPy5QNq1LBPcPzNN6xqePIkm0ccO0Yp37Bh6n2W0qXZwMGUu3cZ0MyXz7Y5/v2Xny1rVgYtV60yf12EHe8LFlRnzQkhQj++Tke/fHAw2/3Vr4+QG2FWTK9jPkuD/9NyLpdUrnMCL6+EW915eSX3CjWSBGvW3dWPFL8jHzCA9Vju3GElwuXLWeFw927je3LmpD/cGby9eQ5THj0S8fRUr3v9/v30mY8aRZfPyJG8CxgxwrbjN2zgZ//nH8YBfv+dtc6HDOEaIyNZaKt6dfXWnBD79vEuw9IF1akT75pUwmC6bR13ZH57xhOaJ7FHakHbkdty3vScom8PYWGUKQYFMWnFkHLu5cXWbnv3UoWh1zOL0RliY9ns2JRMmTiuFpUrU1EzdSrb1Hl4UAI5a5Ztx0+YwPZzrVrx+UcfcVs6bBiwYgUTq95+m0lISdHt+NIl3rW4WdxM1q7N1zQ0EsE0dd70X3tuppMy/d4WNNeKJQ8fMjU9Vy7gzz+pjb5wAWjXDnj6lHLBLl1o1C2NsL28/z4wfbr52PTpQJs26hnFGTOoK3/xgi6jyEhemPr0MU+5F+FFasAAoH9/1kMRoVTStEYNQHmiCN0sly8DGzeayy9dSbly7Imq15uP79/P1zRSLa4uj2CY39I95uNjvwsuxengrW3TXf1I0a6VyEi6TS5dokvh6FFmO2bPzt6RHh4MSFqWp3WEu3fZoq55c2ZBtmxJZYya6o9q1dhT1BSdjs0qrl83jn31lUjx4iKTJjEzs2RJSherVo3b1OL4cQZ8k8KVYoleL1KvHssA37zJwPC333I9YWGqncY0sOls8DS+edSYOy25VpKa1KgcghbstJEsWdipvWVL7vry5GHBqcyZufPcvp2BNvcEvFLPngHXriXuIilQADhzht3iQ0K46z93jok7iWG6m04IN7e4LdZE+BkM9V3On6c76fhxuky+/JKB15UrgY4dmTy0dy+PO3aMxbC+/tr6XcO9e3w9Rw7e1QwYYD1T1Bpbt7JdX/HizAA9ejTuexQF+OcfJiJVrszvKjCQdWBUjOz5+KiX8BFfyy8gBe3o0gmm9XhMf76GXXmq/RlYs+6ufqToHbkId32zZ4tkyMBWbe3asUmCiMhffzFRxhrPn7POtpcX9duGQKla6HTcuRcowIBj7drmAVhTQkJEjhxhjZnGjc0bMf/8s0jNmsbnkyYxoceSIUNYY2X5ctZOcXPjHcMvv1jfjYeHcyf/zTcMBN+8yToytWsnvnv/6y9+XytWUOb5889sBPLff4l+LSkdVwbGtB25faR22Sc0HbkDtG/PDEZDsalbt5jVGJ9eumNH3vIb2sgdOUL3zL596qznq69E6tShLjwqSmTlShq7Y8eM79HraUhz5KALyNubzR1KlGDHosaN+Tww0HjMrFlctyW9ejFRyUBi7qQFC+geMkWnE/H3F9m1K/7j9HqR0qXNG3+IiCxcKNK0acLnTAVohjzloBny9GjInz1jKzQ/P8rrfHy4e7XGvXvMboyIMB//+WcaeGd5/pxG2bI13IwZTNIxMGcO/eIGaeTz5yLvv881TJnCHa9lRufDh1z7iRPGsdOn+Xnv3rV9jYMH079uSd++CUsDnz9nZyHLXfvDh4xXpHJcaTyyZ0/YiGfP7vw50hKm33la8pFr8sOE8PamP/bGDeDBA9bVjs8P++AB/bWWFQLLlQP++MP5tdy+TWWIpTqkdm02bTDwyy/AnDnGrkDZs/N5uXKsv54xI8dFKNcLD2dS0vz5bAJRsyYdiAcPAvPm0Y9vK2+8QT+3KSLAoUMJVz3MmpW12oOC2MjCwNmzbJChES/Pnyf3ClIvhtgFwF950/+nNlQJdiqKslBRlMeKopxXY74Uw+nTwOefsxWbNcmbKWXK0NhadgfasIFZkc5SuDClkQ8emI9byu7iK2MbG0vpIcBAbI0azFrt3RsoWpTjt26x/dzHH/P/HTrYt8bOnYETJ6g9f7u7gVwAACAASURBVPGCWZcDBzIw/N578R+XIQODoj178jsEKPkcOJCNLVI5Wteh1IOhCYkzzUmSBWvbdHsfAOoCqAzgvC3vTxWulTVr6FKZMIH1Vbp0oR83ODj+Y6ZMoQ999WoGR0eMoI/89m111jR8OAthnTpF98iyZaxSaOoS+eADkZ9+Mj9uwwaRt96i60KnY+By+nRjduThw/S1m/rNDbx6xeYXWbMy+FuoEL+P+Lh+ncHhjBnpLunRI+HaMadOMUBcuTJ96TlyUBqZN29cd4xeLxIba32NSVBdUSP1Y0sFRGsur5TiQ4erfeQAiqYZQx4TQ2XIoUPm4598knhq+6pVrJBYvjwLO924od66dDqRyZOpmc6YkXpqy0Dq+fO8AI0YweDhlCk00lu38vXdu1mky9If/c03IkOHxj3ne++xMNXgwazO2KoV1SsrViS+1sSUKvv3c21TpzIwPG0aL0yrV5urbGJiqBX382NJ3lq1+DmCghhc9fCgxr9DB8YqNDRsID6DrRnytGLIz5+njM6S/fsZSEzpBAWxTvo771CNYrpjX7lSpG3buMf89ptI9+7mYxcu0EjOnm0+3rAhd8zxERnJu4C//2YgMz7q1xdZutR87M8/qcwxJSCAF8dLl2jUV62iwc+bl8HniAgmA33zDS+gaiRraaR5NEPugCEH0AfAcQDHCxcunCQf2mHu3KFawrLH5V9/Ub6Xmrlzh/eRpu4OvZ7a+AULzN+7ciV3/o8e8fmLF9SlFyrEX52xY0VevjQ/ZssW7rIbNOCcPj7xu2IyZoyroImK4q7bsJsPCaG7xdKl1bEjdeeWvP22yPr1CX8HVkiNCgYN51AU6z9zRYn73pRuyJMss1NE5olIVRGpmjt37qQ6rWMULMiaKt9+ayxV++gR8N13QK9eybs2a0RFsYDV8OHsQ5pQb86CBYHPPmP9lKVLgc2bjR3uu3Qxf2/p0vw3MJDfQ7NmDEKWL8/iXseOMRtV/hfuf/aMc6xbB+zaBWzbxpotn37KmjWW5MvHnqWmXL0K5M9vlA7cvg0UKsQsUVM8PKxnt1arRvWLncSXfZnSytamJ0yzMF0ReLT28zaMpza0FP34+P139qgsWRJo1IiqlHbt7FdyuJrgYF505s8HsmWjXLJ8eSpT4uP773mRWrUKmDKF1QR37mQZAlMqVqQcsH17Ft96+RKoXp1G+tNPgb//pkpn/36+f+1aShhr1zbO8dZbTPNfsSLuOvr3B/r1oxoH4MXy8885ZqBoUdZPf/iQvUK3b+fFJDaWFxfTvzq9nheOChXs+gpdgauNUHogOS6uBiVRalMYqaIjVxRlBYD6AHIpinIXwBgRWaDG3Krz/DkbJbx8CTRtGr9OOm9eGqizZyn5q1KFVRFTGqNHAw0a0NAadrE//ggMGkTpozUUhca5ffvE5z90iNLBIUP43FAbZupUygqbNWNNlLp1KTm0Zqly5uRrlgwZwoqSZctyF37/PuWQpo01cuRgpcZq1XjXULEiDfnz59ypGySKMTGUPXp5Ae++m/jncjGmGmVTUqNGOT0REmKuKU81WPO3uPqRbMHOrVvp+27VinJCH5+4Uj1b0OtFrlxhMFCNHpvOYFnFUITBPw+PuD5+Z5g2jT7vZ8/Mxxs1YoBSROTiRZE8eUSePjW+Hh7OqooHD8Y/d1iYyNmzxtIGlixbxs9ZuDAljQ0bMpu1cWNmjebNS5XR4MEOV0BUO/sytaeCpwRc/R2mxp8R0n2K/osXNOIHDhjH7tyhzttU1ZEYgYEs7Zo/PwtIlSwZt0xsUlKggMjly+ZjYWGU46mprQ4NpcFcsIBa7uhokZkzKYU0DXh+/TXrukydytfLl6dsMz4p4sOH7It67Vr8527YkJJEU16+5IX4/n2nP5qIZshTIpohj0t8hjz9+Mg3bWI2o6n/tmBB4JNPrPtvrREdTVdC794M3l27xkYQ7dvHzbhMKjp1os/bNOt04kSgdWsGJNUiRw6m38+bx/T/PHmA1asZ0DT1rU+YwPdcuUI3zKRJbGRh6VPQ6+laKVOGQeRatZjGby1QGxIS1wWWOTMdl6Ghqnw8Lfsy/ZGWfubpp9ZKVFTcOigAx2wtQLxxI1CsGAN9Blq0oAH64w91mybbypgxXEOlSvSVHztGX/L27eqfq0IFNnK+d49p9da6AikKfdSJ+al//pn1XIKC6EOPiqIvfNAgBm5Nee89fr81axrHDh6kX9y0NosTpMoa1GkcV7dTS0s/8/RjyJs0YWDs+nVjLZKICGDhQmD2bNvmePjQuuEoWdKovEhqvLzY9GHXLgZm330XaN484cYXzmJPIa34mD+fAdqcOfncw4MB1OLF2U80Sxbje4cO5Z3URx+xPd7ly7wTmjvXtZ/TQUzrdViSGnd7yUVKMLS/nfgN265vizOeQcmAn5r8hPzZ8yfDquKS8v4KXIWfH10OtWqxOFP27MDixdRTJ1TQyZTatenGePnSaGj0euqmhw513doTw82Nsr+GDZNvDfby9GncC4JBsxcZaW7I/fyAI0foolm4kMdt3sy7kBRIQoqVlGCcNGwnLCoMgcGBGFtv7OuxoJAgTPpvEn5p+UvyLcwCRZJBZ1O1alU5fvx4kp8XAKVrK1bQGLdsCdSvH3frFBZGf7g1ueHHHzNp5auvaGzmzOFf7s6dKXJ3mGL5+GPuvkePNo79+y8wYgSrTtqi0xNhtcXAQPraq1VLEfq++ORrqVLWls6JiI5AiZklsKP7Dvj7+QMAPv77YxTzLoYx9cck+XoURTkhIlXjjKc7Q54QDx+yP+WOHfQBly5NQ12tmvE9Oh3rf69YQWPfujUTWKz53zXi59o1as/bt2efztOngZkzgeXLbbuzCA9nRuqVK8Dbb9N3X6QI745U7N3pCJohTx62X9uOO8/jZhB7ZvREx/IdoTh4kZ9ycAqO3T+GlR+sRFBIEGrOr4mggUHwzuzt7JLtJn0b8mvXqIzYtYs+2d69mUHoZiLaEWGGZOPGwMiRVEWsXMng2+nTTFjRUJf793mhPHWKGZz9+jEr1Ra++AJ4/JhNozNkoIurVy9eUOfMcemyE0Mz5MnDu4vfxbNXz1Apr9HldivsFs48PIOHQx/C3c2xO2bTXfmUg1OSbTcOxG/I066O/OpVJqqsX0/983ffUau8bx/LoH7xhfn79+wRefPNuHrnzz5jA2KNlEWuXHEToe7dY2+zxMrnupjUqE9OC2wN2iplZ5eVWJ2xZn2nVZ1k4v6JTs89+b/JUmdhHck5Kac8e/ks8QNcBNKNjlynozb87bepc+7Zk9ugPn3ok33nHfpiFy1ibQ8DN29SXmd5+/XWW3xNI2URGUltuyleXox9JDNpSZ+cmmhUvBG8M3tjVeAqAMCFxxew++Zu9KveL5EjE6dv1b64/OQyBlQfkCwulcRIe4Z87lzK027cYFGoqlVpvE21376+NNCBgcaxqlVZcOnVK/P5Nm/maxopixYt2J/UlF9/pfQymQOeISHWiz1pihXXoigKxtYfi+/2fgedXodx+8ZhcM3ByJYpm9Nze2byxIGeB/B1na9VWKn6pD2ZxZIlLBrl6cnnxYuzBOqMGfxL8vVl8klgILMzhw/nWJculCK2bs0kmxw5aCiuXAGWLUvez5RauHmTF9By5YzNn13FxIn8eQUG8kJ96BCToHbvdu15reDra70in4+PZryTGsOufOyesdh9czfmt56f+EE2UjpnadXmUpu0tyMPDzevwNevH3fpisIEoCdPGBTLmJEGP0sWZhdWqMDmwQ0bUrny/vuUE+7bx/KwGvETEcGKiNWrA2PHUgo4aFDCzaqdpXhxJkBVqQIcPw68+Safl076PzatlnnKwbArH79/vGq78dRA2lOtDB5MWaBptua333IH5+5Og16pEt+zd6+xHsmBAzRGt245XqNEp2NNl507eTHp1o0p/SmJjRvpgggO5o72iy+c3z337Uvt/cKFVPs8ewa0asXvMyBAnXWnYDSVSspCRDDt8DT0qdInzRny9CM/fPyY+uTy5Znwc+4c63SsWQP4+1Oe1rkzjYxlR5xq1YCffuKtur3ExLDxxL17nP/ePXbg+e031mKJjOR7LAN0ruLBAxpWw91Gjx5sljFnDpNwihShvHLzZmZNOlprPTqarqurV80vCP/9x7jE+fOqfJyUjGbINZKK+Ax52vOR+/mx0cGSJcCePUDhwiwkVbSo8T3u7jRAlkRHO56duWwZd6VHjtBtAwD/93+slrh0KSsHAnQFzJzJYKslr16xBsk//7D2SJcuwIcf2h+8O3OGevi2bYE6dXiHMGMGKwWePm38LurWpZpn9mzetTjCq1e8E7G8EBQqxDR8DQ0N12NNk+jqR7I1ljCwerXIW2+Zd3hfv16kaFHW2naEtm3ZAMEUnU7E01OkUyeeKzqa3erz5BF5/Nj8vTExIu+9J9KkCdeyYoVIpUoi/frZv5b69XkeUz76iNprS7ZsYYd6R9HrRSpXFlm71nx8wgQ270gHaLpxjaQC8ejI096O3BbatWOWZ5kyVKncu8ed9Pr1zBJ0BA8Puk9M2buXu9WBA1mkC2BW6aFDdHN8+aXxvf/8w3ZoBw8a19CiBast9u/PtdpCZCTnN9wBGOjViy6mmBjjHQNA14u1crS2oiisWtihA90oVapQPfLnn/z86QBXl1vV0EiMtKdasQVFoa9461b2i+zYkWn8pvWu7aVLF2DaNHOpwqpVNJo1api/t3JlyvRM2buXxtD0QpI9O3XR+/bZtoYXL+hS0ulY79u0T6aXFy82X31l1MqfPQv88APw2We2f05r1K/P9T98yBK0mTPTnZUMChJXkVAzZU03rpHcpM8duQF/fz7UoGVLNmt+4w0a33v36I/29KQMz9RAb9vG95uSOzcVM5bcvEkFSGIcOMDz6vXsMD90KDBqFFU01avz//37U3ddsCADk0+eUILpSHDXknLl1KlxEhVFf/5ff/GC1LYtOwkZ8gIcJTqawV9D/MEQ8LYx/qA1U9ZIyaQ91UpyExTEpBRfX7pGOnemQRo7ljvsOXOALVtYftXUON2+zZ36mjWUBYpwdz1qFBUhHh7G94rwHCdPUk9dvz4DmNY61bu7U1VSpw6Drh4ewN27NOJly5rPayuBgbz7OHeOu+5Bg7h2R4iIoIpmyRLmAHh7c85x47j26dOpwNm92/FAtE7HC2dMDIulRUYCU6Yw2Dtzpk1T2KtM0ZKENFxB+iua5SyPH4v07MkiTJ6eIt26Odbo99UrkW+/FSldWqRQIZHPP2fDYWts2SJSsKCIvz87z/v7s7u8CIOl8+aJBASIlCkjUq6cyKBBIvXqMXiaNau1u3sRDw+eXy2OH2fQ9PvvRf77T+Snn0Ry5xbZscOx+Zo3F/nwQxY027SJc+fPL/LkCV/X6USqV2cA2FHWr2fD7JgY41hYGL+3ixdtmsLegKYWANVwBdCCnXYQG0v5Xt26TNHPkIEBvQYNKO2zZxfr4cEdp2kDhfho0oS+81OneNybb3LLd/06W7hVrsxtXlgYd/fDhgH58tE1cuCA9TmjotQtJDVqFLsk9enD52+/TU368OGUfdrD6dMMkF67xt32339TshkaSjfIl1+y1HDLlgxGi9Dtcvs2Nf/ffMPvKDF276YbxXRH7+XFO6a9e20PJGtopFDSZ7AzMTZvZsBu+nQqOnLnZmZooULA2rWuPbe7O42UaSXGwYMZkFy7lvVhtmwB2rRh3XSA7pv48PRkT1G1+O8/NoMwpU0bXnysafMTIjCQrfcMBrZgQWPtFNOCZhcuMFYweDBLLmzcyO/ovfdsSzjKlYvG35Jbt/iahkYqRxVDrihKU0VRLiuKEqQoimvLg12/zmzJ1atdV7I0MJA+ZctIVp065gbGEe7epZ82Xz7WcClWDJg0KX4jGBvLgOWAAXyu09HwBQRwBwtQdRMfbm5Ap07OrdmUvHm5gzbl5k1mrJrKGm2hTBl29tHp+Lx1a94BzZ9P2aVOx76qe/cyqWndOl5E3niDRv2rr6i6SYxu3SiHNNy1iLAT0aVL3JXbgFaaViNFY83fYs8DQAYA1wAUB5AJwBkA5RI6xiEfuV4vMnw4fajdu4s0asSGEUeOOOZsSoj160Vq1ozboKBhw7hJP/Zw5w79v76+Iu+/z2YXefKIlC8v0rGj9WNiY0UyZxZ5+pTPDX7xmjVFMmYUGTNG5Icf6AM2+PMB/ps9u8j+/Y6v1xrTpvHcDx+K3L1Ln3njxiIjRjg2X5MmIl27ity+LfLihcjXX/Nz+fjwZ121qsjGjSIFCsQ9NjBQpFQp286zaZNIvnxMBCtdWuSNN0ROnXJszTag+cg1XAHi8ZGrYchrAdhq8nw4gOEJHeOQId+0iX+ABoMmIrJunUjhwuZBLDWIieEffECAyKNHDLx9/TXP/+qV4/MOHEij16KFcezsWRE/PxqqM2esH9e1Kzsa6fXsWJQli0iOHLwAFC5Mw3fqFA3h/Plc6/z5fK42Oh0Dtu7uIhkyiCiKiLe3yPbtjs334oXIgAH8PO7uIq1bMwB5/z4vfCIi4eF83TJIvHIlL662Eh0tcvCgyIkTLu8i5ONjPfbs4+PS02qkcVxpyD8AMN/keTcAs628rw+A4wCOFy5c2P5P0LWryNy5cccrVRLZu9f++RLj8WORHj24s82Shee/d8+5OatU4U581izz8dKlacAWLLB+3KNH/JxvvkkVStmyVK4MGUIlS7NmIj//zNZnR46IREY6t86E0Ol4ARk9mucKDuaOOVcukVu3nJs7IeMaEECFy4MHfH7iBEsqbNjAi3tIiHPn1tBIBbjSkHewYshnJXSMQzvyDh1EFi+OO16njsi2bfbPZyt6vfO7txs3RNq14+7VzU2kZEnj7jI8nDvacuVEdu6Mf47YWJFvvhGpUEFk1y7zNU2fTjdTnjwiFSvSqFrWWlGLnTt5UbH8TgIC6OZxFVFRdCt5e9NFUqAAe6nWq0cXUvbsdLddu+a6NWhoJDPxGXI1gp13ARQyeV4QwH0V5jWnVSvW0Y6JMY6dPAlcvAjUrq366V5jiGo5yp07QMWKDLSVLEnZm0E+FxrKbMt8+RgorF8//nkyZGAlRZ2O7zNd07RprPJ45w7VI/v2sZqhK2qd3LvHIKXld1KmDF9zFZky8XPeu0eZ47lzLEPQsSOrLAYHA40a8REV5bp1aGikQNQw5McAlFIUpZiiKJkAfAjgHxXmNadzZ8oAq1cHJk+maqFJE7Zjy5pV9dOpQkQE5XVeXpTMzZ0L5MxJd+ndu5Q8/PEHlSubN1NhkhC1a1OxMmGC8YL2xx804L//blSNlC1LXfevv6r/mWrWpIIkIsI4JsKCY7VqqX8+S7JmpUxxzRr+Lnz+OT+3hwd158WKcS0aGukIpxOCRCRWUZT+ALaCCpaFInLB6ZVZ4u5OHfXmzaxV4uND6VqJEqqfSjWWLaMevWdPYwPnM2eYVl+tGg3uyJG2N5tQFGDDBuCjj5gYkz07JZglS3IuU4oXd43mvVQp6sYbNeLavb15MX34MGE9u9rcvGm9pvtbb1mvWaOhkYbRaq24kl69jLvvbduM4507s1zt/Pk0iI5w5w5rqxQowF3osWPGi5oIM0EfPGASU4sW7NaTJYvznwlgYa7581m7JSKC8w8eTKOeVPz9N/X3Bw8a3Tw6Hd1YM2bw81sjNpZ3FI8f8w6nePGkW7OGhpOkn1ZvKYkxY1icatcuGrtBg5j4U7Uq/eLnziXuTrGFWbPoPx4xgunyX3zBxJoZM+iG+PVXpvXv2OF4P9LkIjKS5XZz5TLPUI2NZYJWqVK8iOh0zL599oyf01pc48oV/hxy5uTFb8cOoGtXtvfTyhhqpAK0olnJwa1bVJD8/ruxAJebG8VC+fJRj23ZKchRtm4Vad+eBaYyZxa5etX4mk4nUreuc8lMycG8eSI5c1K2mS8fOx8Z5IciLHxl0PeXLUtJZESE9bn0es4zZ45xLDSUKp8VK1RfuqYj13AFcJX80JFHmjDkx4+zAuCsWdR5x8fevdRd58xJ+WH58iJvv82KgdmzUxc+apQ6CSrPntHYubvz0aqVyOXLfG3WLJE+fZw/R1KxZw+rRRqqE8bEUH5Zr55j8128yPl0OvPxFSvME7RUQsvs1HAF8RlyrWiWvYhQKdG2LQtLHzvGQOOmTdbfX7cuXSg1a7JqYOnSdK3cv8+CT5kzs4bI8uXOr6tNG85XoQKljfXr01ccEsLgoJ+fc+dISubNA77+2liZ0N2dksqrV4HLl+2fLzKSwWFLV1aOHOYKHA2NVEj6M+SPHwOffEKfa548LEYVGmr78Rs3Uqd94QKbEyxeDPz7L5Uk8RXxUhQqKWrWZEnVH36gYSpcmOvo25fBQ2c4eJDKkfXr+XmWLaNPvkEDNrVYvBj4+GPnzpGUBAezWYYp7u4M3gYH2z9fhQrA8+fs4mRAhPEDy25NGhqpjPRlyKOiaNiyZ2fizOHDNL7NmlGJYQtr1nBHbmimDFA/Xa4csGdP/Me98QaNiJeXUfd+7x53y2++6XzbmCtXeKHIlMmoWS9RgoHWBQtY3zslSzUtqVcPWLnSfOzaNX7OihXtn8/dnTLJdu3YBm/uXN6tBAc737MUcXt6AsaenhoariZ9GfK1a6kW+ekn7uyKFWNJ3Kgodn53JUOHArNn88KxZw/dKh98QFng2rXxy+VspXx5Zo/qdHRHnDpFzXm5cnTp2NL3MyXx+edsJvHxx2ySPW8e0LAh8N13LP/rCC1a8OKdJQubWvTqxQuds/1AYezpaXgA/NdauzcNDbVJX/LDb77hbtjQkMHAF19QpjdkSOJzbNzIOtiHDhl35QcPAu+/z9T7zJnjP3bHDhqoq1eNvlp3dxqWM2coHXQUEaBpU7pqxo3j2ubOBRYt4ty2Jh2lJEJC2ON0925+rj59aMxdjCP9Ni17d8Y3R2LzpAf+OPMHFp1eFGdcURRMbTwVFfPadsel0+twNeSq1deK5CiCLBlVyptIQcQnP0xfrd5Kl6ZrxBQR7vxs3RE3b87AZvnybB8WHEzjvnRpwkYcoBFavpylBapVY/2UMmWok544kbVDHEVRuLMfPZqunpcv6fvduzd1GnGA1nDUKD6SEMPu2hJ7pOYhIcb3W86V3iXr2T2y4+KTi1jadimU/30ZD8Mfovc/vZHHM4/N82y4sgHtVrZD6ZylzcZvhd3CmHpj8HUd+3vc6PQ6HL9/HHqJ62ot7lMcebLZvr6kJH3tyCMjAX9/3lIHBDCp5IcfaJhPnbKvS/uJE8zW9PKiQbdVEdK1K414QIBxLDSUbp6gICaraCQrlrvrxMYNr/n42LaTT2ie9ICIoPK8yhhbbyzalGkDABiydQh0osP0ptNtnidaF41Ss0ph5QcrUbNgTQDAgxcPUH5ueVz4/ALyZc9n99rOPDyDir9WRNX8VeHuZrQHV55ewYflP8ScFnPsnlNNtIQgAzduiLRtK5IpEzXcnTvH39XeFdSowe7zllSoIHLyZNKtQyNeHNGAG7zj1sasjad31l1cJxV/qSh6vV4evHggvpN85f7z+3bP88uxX6Tp0qavnw/aPEgCNgc4tbZ6i+rJ4tPGktnPXz2X3D/mlsDHgU7NqwaIR0eevlwrACVta9bQr339OlCpEmWISUWFCgywvf22cezBA/rXU5OqJI1iUJlYuj8S681p2I1bO04LeMalzRtt8O3eb/HP5X+w79Y+dKvQLd4ddKw+Fq1WtEJEdFy9f5lcZRAYHIjDdw+jSI4iWHxmMS587lzNvrH1x+KTDZ+gy5td4O7mjtlHZ6Nh8YYom7ts4gcnE2nXkJ8/D4wfz9rVBQpQL96xI/+q2rSh5rpKFZZ7rVGDvmsPD9eva/BgJgn5+rKRcFAQg639+9NNo5GsGIyuvX5tg0/c9DhFMfeVaxhRFAVj6o3B8J3D8SjiEc73PR/vezMoGRD2Kgy1CtZ67YoBgCkHp8DdzR3f1PkG3+79FmVylkH3t7o75FIxpX7R+iiQvQCWn1uOtmXaYtrhadj7ccK1/SNjIjHzyExE6+I2Ua+QpwLeL/O+U2tKjLQpPwwMZPCyenX6sb/8kgGz2bNpNP392UF9xQruymNjWeM7KShThmvaupXSwD59mEz03XdJc36NRPHxMdeEGwxxYrvy+OYBzOeyd560Sps32sDD3QNd3+yaoPFVFAVj64/F5qDNqF2oNuoWqYuyucriwO0DGF5nOHpU6oHA4EAsPL0QX9X+SpW1ja0/FuP2jcP0w9Nt2o3H6mPxw4EfcP3ZdcTqY18/VgeuxsYrG1VZU4JY87e4+uFyH/lHH7GzvCkXL7KAVdas5g2cRdj0uFgx165JI1XgTI0Urb6K/TwOfyyvYhJvaK7X66XW/Fqy4hwLnA3bNkz6/tv39et/nf9LJu6fqOra6i2qJ+7fudvsGx+1a5T0Wt/r9fOQyBDJOSmnBD0NUm1NSFdFs8qXFzl9Ou54kSIMckZFmY/fusVO9qmZ4GA2X7YsCpWWefpU5I8/RJYsEXnyRJUpnTHGWsVD17I1aKuUnV1WHrx4ID4TfeR26G2Xnu/o3aMydvdYm9//NPKp5JyUU66FsG/s6F2jpcffPVRdU3yGPG36yIsWpTbbtIPMkyeU+dWoASxZAvTubXxt3jxm/aVGgoPpntm9mxmKnp7AzJlMDlKDFy/oBoqJARo3TjnyyD//ZI0ag/5/4EAmD3Xpwud//MGWgEFBDDCPHs0cABeSUJKPI0lGGuY0Kt4I3pm90WxZM3zo/yEK5SiU+EFOUK1ANVQrUA0AcPDOQey7tS/OexQo6FGpB/w8/eCbxRefV/scE/ZPwORGkzHn2Bwc6X3EpWs0kDYNeUAA26uVLk3D/fAhjV3XriyY1aQJcPw4qxDu2sUszX1xf0ipgg8+oC59BzYUpwAAIABJREFU2TJmiO7cSWO2d2/c9m/2snkzv7Pq1RkI/vxzljcoU4avZcsGfPghi38lJffuAf36sXaNvz/HAgPZaKJuXWDLFhrxX37hd7NzJy/cixbxZ58Apn5ty3FnUCPJKL1j8JW3WtEK/3yoflvghNh7cy/mHJuDrhW6vh6LiI7AnGNz8H6Z9+HnyTySQTUHofSs0ngZ+xJNSjSBd2ZvPI18+voYD3cPZMvkYImJBEi7CUHLlzMlPzKSXXm6d6dhW7eOYz4+3F1WrMh6HknZpkwtzpxhaYBr18zLs44Zw45A021ProjDs2fsyPPvv8amypcv8/vKlYvfZ0gI8NdfNJgdOjj3WexhxgzecS1YYD7+ySf8Gc+cCaxebeyTCvD5rFm8wCUDjiQZpXXuv7iPiQcmWs2ibFyiMVq/0drqcQ9ePHBamWIvYa/CUHJWSfzX87/XmaST/5uM4w+OY+UH5sXdRu8ejXH7xiGze2ZkzWhsDB+ti4ab4obQr0JfZ7TaS/pL0e/SBejUiWVrvb25I1u2jMWr3N35x/74MW/J1Wi3Zg0RqmMA7mLV3n7dvct53dy465wwgeV1fXycL7u3fj0rRRqMOECFT9asVNmMH8+xzz7j+5o2Na8I6UqioqwXusqWjaVqHz82N+IAqyl++in/Hx7OR5482pY4GdGLHr8c/wXD6wxHbs/cr8d/OvQTinkXs3qMTq/Dvlv78DLWWDL60N1DuPr0Krw8vJA/e/7X4+5u7hhbfyx8szhfgjJH5hwYWH0gxu8bjyVtlyAiOgJTD03Fju474rx36NtDcTP0JmL0MVjRfsXr8WHbhyEyJtJhI54QaVN+aCBDBlY7PH+eCUBz53JHtnAhb8Fv3TJviqwmJ06wPG2zZnz4+9OdoyaVKrFOzKpVRrfRyZMsF3DhQty6MvYQGRm3RsvatXSzxMYax956i2M74v5Cu4yWLXkn8OSJcezpU/rN27XjRezsWfNjDh1iwtXHHwP58/PnUb483TB6PX8v1q6lG07DZbyIeoFph6Zhwv4JGLN7DEr4lMC6S+tw8sFJPH/1HG6KG15EvcBnVa2XFo7WReOTDZ9g+bnl2HNzD/bc3INDdw7h4J2DuPbsGvz9/OHv549smbLh99O/Q4F6RnNgjYHYHLQZV55ewdxjc1GvaD34+/nHeZ+XhxfmNJ+Dndd3IjA4EADwOOIx5p+c71D9F1tIuztyU/bvp0vgvfe4g+zcmfVV7t1jwSu1AoMGnj9n8HTGDCYhATQ8LVuynrZaiT/58zMW0KMHm0iULs3iW/fu0R88ejSTjhyhWTMe//33QN68HNPr2RHJsnpkTAwvmmrx/DnnjC+watDfV6nCz68ovDj36sXA5ldf8cK2aBFQuTIDwf3786Lu5sYLuLc3L+KdO/P/Xl709ffqxVyD0aPV+zwar4mIicBXO75C05JNseHKBhTIXgAPXjxAUEgQ8mTLg/sv7uPtQm/DM5P10sJZMmZBQI0APAh/gPmt2YzlwYsHKDitIMbUG4MPyn0AAOj9T28E1AiATxbbgxu/nfgNEw4wn0Qvetx7fu+12ydrxqzI4JYBUbFRqLuoLgBY3Y0byO6RHYNrDca4feOwov0KTDk4BV3e7IKCXgVtXo9dWJOyuPqR5LVWliwRyZZNZMMG8/Fy5URq11b/fPPnsxGyJe3bi/z2m7rn0utFMmYUqVVLxN9fZPBg1o7R69kjNDbW8bm//16kYEGRceNEfvyRPS+9vMylfgcOUJ8fX9Nje7h/X6RNG/6svLxEatYUOXEi/vcfPiwydKjIkCEihw4Zx/V6NlkuWpTfQblyIjNnUmL66pX5+/LlYw9VQ8/Uhw/ZzPnff53/PCZo0kQjff/tK19t/0reXfyuLDq1SD5a95FkHp9ZVl9YLcpYRS4FX0rw+KeRT8V3ku9rmd+Ckwuk6PSi0ucf9qS9FnJNfCf5ytPIpwlNE4ejd4+K7yRfuRh8Ua6HXJd6i+pJ33/7iuf3nnL16VUJfRkqzZc1l8zjM0vHVR0Tnc9Qo2XPjT3iM9FH7oTdsWs91kC60pFbEhTEP+ilS/kHq9fTqHt7uyYRaPx4kWHD4o5/9RWNotr4+7NZsSknTogULuz83IcPiwwaJNKvn8i2bfwMfn4iffuKdOwo4usrsnmz8+fR6UTeeosNlsPD2Wx58WKeK6Hm1olhuJDt2iXyzjvmr505I5Inj0ijRubj8+eLfPCB4+fUSJDbobfFd5KvrL+0XkrMKCG91/cWj3EeUnRaUak1v5ZNc4zcOVJ6re8l0bHRUmx6MdlweYP4TvKVm89uSq/1vWTkzpEOra3FshYy9+hcERE5fOewZJuQTQZtHiQiIhceX5DcP+aWdRfXya3QWzbN98P+H8Tze0/pt7GfQ+uxxCWGHEAHABcA6AFUtfW4JDfkYWEinp4iZcpwl1aqlEjJkiLTp4tUrar++fbs4bmio41j0dEiZcuK7N6t/vkWLeL5Tp3i8wsXaBRnzlT/XCLMkp02jXcXllmyjrJjh0jFisadsYFevUQmTXJ+/uBgXriDg41jBw7wQjFihPl7//5bpEkT58+pES+GXXmdhXXE83tP6fBXB5t24wYMu/IRO0dIwyUNRURk+I7h0nxZc4d24waO3j0qhX4qJK9iXsmdsDvi/p27/HjgRxER+XD1h/LD/h8SmcGc56+eS+0FtVXZjYu4LiHoPIB2AH51ch7X4uXFVme+vvStKgpbvbVoQR+r2tStS391s2YskgVQf12qFNUTavPxx2wk0aoV/ctZs7K+TP/+6p8LoFLG0N1eLW7eZBzDMqJfsSI14s6SKxdVK82asQZ9wYKMjzx5Yv4zEaG/vVkz58+pES/D6wxHxV8ronqB6sjglgG5s+ZG+7Lt8UauN+I95mLwRXRZ2+W139rdzR3f7/8eJXxK4Mf/fsTgWoNRbEYxDKoxyGGlSrUC1VAhTwUsPLUQF4IvoFO5Tph1dBYalWiEndd3Yl7LeXbNl90jOw70PODQWuzCmnW39wFgD1LyjlxEJCREpGFD+nmbNKFzcuBA16W0R0WJzJ4tUr8+H7NmxS0NoDY6HT+nM37x5OLUKf5sLL+jFi3o6lADvV5k3jyRatVEihfnbn/mTLpXxo4VWbhQpHFj+ubDw9U5p0a89P23r2Qal0lqL6gtmcZlSjTl/kXUC8k5KacsO7tMTj84Lftu7pOhW4dKyZkl5c9zf4oI3SEvol44ta6jd49Kvin5xGeijzwKfyTNljaTPJPz2L0bdwWIZ0euSkKQoih7AAwVkXj1dYqi9AHQBwAKFy5c5datW06f1yHOn6dqoWJFlrfVUIcTJ5gYdP8+ULMm0+dz5bJvjg8+oOxx9Ghjz9E9e6iUyZo10cMd5uxZ7sKfPgXq1wf+7/8Sb9un4TSPIx7jv9v/oZhPMRy8cxCfV/s80WMmHZiEUw9P4c8P/gQAbA3aisHbBuPsZ2eRwU095VSbP9ugbK6ymNhwIlYHrkbfjX0xtv5YZHE37wPaqnQrMw28q4kvIShRQ64oyg4Aea28NEJE1v/vPXuQiCE3RfXMzlOngEmT2Bm9RAnKx9Rs0vvkCf/QL1ygy6R376RtRpHSWbuWsr2CBSlRzJiRmaFHjhili7YQHQ1MncrErVevKNccOdK2C8K1a/wZPXzIph1durBkgUaaIjw6HCVmlsCu7rtQLnc5vL3wbQyqMQid/Dupep5oXTTc3dzhprhh9tHZGLlrJNqVbff6db3oseTMEuzsvhMNijVQ9dwJEZ8hTzQhSEQaioi/lcd61yzVTo4dYzGnWrVoUD78kJmHq1erM/+1a0Y/bf36xt38Bee6kKQZdDoa8axZGQ+YNYv1bcLC7K+xnikTG32cP89iV9On22bEt27lXUBUFM+9ahXrrjx/7thn0kixZMuUDYNrUp+97do2PI96/lo7riaZMmTC2D1j0WN9Dxy+exhRuiiEvAyBQOCT2QfNSzVHtQLVUL9ofdXP7QhJ5loxRdUdeevWDFoa0q8BZun16cP0eGfTYTt1ouEePtw4Nns2E4o2bXJu7rTAqVNMh79yxbxV3fvvA4cPuz5TUq9nTZjffmPCF8CAZdeuDMiOGuXa82skOYZdeQ6PHBjXYJzTu/Gj947i6tOrccanHJqCgl4F0a5MO2wJ2oLroddRyrcUgkKCEBETgSmNpqBZqaQNijvsWklk0rYAZgHIDSAUwGkRSbi8HFQ25Hny0JjkN9ZYgAiVKnfuOF8My8uLNUZMd4YvX9KHGxWlbkZjamTjRrbOe/HC3JUxejQveKY1Wl++BJYu5YU2d27u5P3jpjjbRWAg1TrXrpmP79nDi++hQ87Nr5Ei+fG/H7HkzBKc+eyM077xzms64/j946heoPrrsaeRT7Hrxi74efrhesB1xOhiUGJmCXhm8kTHch2x6+YuHO512CV1UxLCJUWzRGQdgHXOzOE0hQrRzWFqyG/d4m16NhXKRXp60hiZGvLQUBotVxXbSk2UKcMiZF99RYmluzubSc+fb15GNzyctcNz5mTZglu3uIOePdu5yomenpw7NpbnNhAaar2wlkaq4sT9E1h+bnmccYGgftH6OP3wNKrkr+LUOYa9PQwtV7TEgtYLkNmdQe6h24ailG8pXHt2DYtOLcKnVT9Fo+KNsPHqRvxz5R9MaTQlXiOuFz0O3z1stX9n4RyFUdynuFPrtUbqr7USEMDHunXAG2/QiPTuTdWEuwofr3t3lsNdsYJBPJ2OO73u3bXKeQDdKbVqsVri6tXUyp88yYtc48b0XV+7xjujfPnojjJ8b61a0S3Wpg0vvI5QpAh/7j/9RO28otA3/v33rtPRayQZt8JuYfqR6VZL3WZQMuDdYu86bcgr5auEavmr4bcTv2FAjQF4FP4IC08txLm+53D3+V10XN0RH1X8CMcfHIde9MiWKRualoy/PtOTyCd4Z9E7qJS3klnt8ashV1GzYE2s6ehEMbt4SP31yEVYnGrCBO6Snz9nFcAJE9Qx5C9fsrDS8eNUQxw4wIJOkZGsMvjppzQg6dnFEhwMdOvGwLO3NwOdrVvTvTFrFn3o773Hsrt//82gsYGKFYFff2WQ0lFu3uQFIVMmXkh272bQe+ZM7WKbytGLHiVmlsDN0JtxXivmXQxBA4Pgpth/ZxywOQB3nt95/Tz0VSgO3T2Ezv6d4ZvFF1GxUZjVfBYAoPkydpZ6+vIpRr4zEgW8CqByvsoJzt99XXeU8i2FUfUYo4nRxaDMnDL4vc3veKfIO3av14BLfOSO4pLGElFR1DD7+bnmlvrcOZZqHTeOmYGdOtE9MGgQy9XOnKn+OVMbt25RqlmuHEvELl/OHTkAtG3LeEZQkLHkrV4PFCvGbkPlyjl3bkMp2gcPeM7i6t++aiQPqwNXo8f6HgiPDn89li1TNvze5ne0L+dYdc82f7ZBpgyZ0Nm/8+uxQVsGQVEUvIh6gXN9z6GAF/NMjtw9gpoLamJTl002BzevPL2C2gtrI2hAEHJkzoFFpxZh2bllCVZMtIX4DHn6KJqlFv36iYwebT729KlIjhwijx8nz5pSIobaNqasW8caNzlz8rlez3ot1arFra+ioWGCTq+TotOLCsbi9aPY9GKi0zuelX3i/gnJPzW/vIx5KSIiMboYKfhTQcFYSP+N/eO8/+Dtg6K38/e029pu8t2e7yQ6NlqKzygu+27uc3i9BhBPZqcWrbOHCxdYR8UUX18G/K7GlS+lWzw9GWi+eNE41qYNXSyhoXS7VKxIyeCff2ruD40EcVPcMLnR5Nf+5myZsmFyo8kOuVQMVM5XGVXzV8VvJ34DACw9uxQlfUtiRtMZGFF3RJz31ypUy26Fysi6IzHz6EzMOTYHxbyLOeVSSYzUH+xMSkqXpjbaoFcG6JO/ckW7lTclQwYmB3XvDixZwgvdkSP87n7+mRc/Pz+gdm1N+aNhE+3KtsOX279EeHQ4cmfNjbZl2zo955h6Y9BqRSv0qNQD4/eNx/zW8x1O8ImIjsDfl/6GTnRm46VzlsbgrYOx92PX9orVDLk9BAQwUFesGCVzt2+z52f79valoqcHvvyS/zZoQHmgnx+bQn/0kfX3b91KI//4MfDOOyyzoH2nGv/DsCvvsKqD07txA4ZdefNlzVEoRyGnsjQfhj9E13Vd0a5sO3hmNMborj+7jqr5q7p0Nw5A85HbzYEDInXqiLi5sanCN9+4vqphaiY2VuT584T94HPmsMHHokUie/eKDBggUqSIyIMHSbVKjVSATq+ThScXOuUbt+TE/ROCsZDdN3Y7PVeHvzq8rl0uIhIcESy+k3wTrepoD3Bl9UN7cYlqxV5EmGU4fz6r3jVoAHz9te0VEWNj6UJIrf7dU6eAffuoJGnTJv4CU7duUUJ45gylff37O68wMSUykr0yDx6k68pA//7Mnv3hB/XOpaFhhcDgQJTL7fzv9PnH5/HekvdwfeB1eGbyxPAdwxEWFYa5LeaqsEricNGsNMvYscCUKcDQocAffwAeHtSJP35s2/Hu7qnTiOt0dG+0aUPf/uLFrFVi2XUeYPp79eq8YA0dyoSe+vV5AVCLwEBWTTQ14gDdVQeSoCC/RrpHDSMOAP5+/qhXpB7mHpuLJ5FPMO/kPAyvMzzxA1UgffrInz6l7vvSJWM52kqVWC9k7lwa+bTK4sVU2Fy+bNyF//EHa3CfPWt+cRo9mncpX3zB502aMHA5bBgDl2rg5wfcu8c8AA8P43hQkOYj10h1jK43Gu8teQ93nt9Bp/KdUChHoSQ5b/o05GfPAhUqxK0p3ro1a3+kZVauZCDS1JXStSuN9sWL5m6TPXvifh/t2vH9L1+qU++7cGEm8AwdCkyezIYOgYHA+PGsL66Rrhm4eSDmHJsTZzyDkgEnPz0Jf7+4RdfWXlyLZeeWWZ3vu/rfobxfedXXacCwK//l+C+4NvBa4geoRPo05AULclcaE8P6KQYuXGARrrRMbKz1uiYZM/L7MCVnTipzTHfGDx7QgDtaG+X2bWDLFs7RujWQIwfvEnr04M8lXz7g0SOWWDCVeWqkS1qUaoFt17bhbN+zyKCwDMbOGzsxYPMAlM1V1uoxsfpYHLh9AHOaz4EC3mGGvAxBv039MKXRFJeveWLDiWheqnmS7cYBpGPVSrNmIp9/LvLiBRUVe/eyo/rJk8m9Mtcycyb7UsbEGMc2bmQPS8v+pVOmiLzzDvuAiohERIi0by8SEODYuSdOpNKne3eRNm34/y1bjK/fvcvv/+VLx+bXSFU8jXwqW4O2Wn2ERPJ3Tq/XS835NWXFuRWvn9dZWEeWnlka77w6vU7Kzfn/9s48Psbr++Ofm0iQxh5rCNqkxC62CBqlQZLav1pUW3ssVW1VS2wJX0Up2uCrtbRC2lpbWoSg1iDEFltCo8JPqYYkiBGTOb8/jskkMpFl5pnJzNz36/W8krnzzH3OM8mcOffcszSgnVd2Zo1N3TuVhm8druwNmQDkEbViu4r83j2ifv04vd7VlcPffv3V3FIpj0rFzac9PPhwdiZydOTm0M+jVrPSLl+eQy4rVSJ65x2i9PTCX/f4cX6fb93SjR0+zHPKRsc2yfenv6eSs0qSX7hfjqPkrJIUfiY867zIK5HkucST1Jlq2vPnHno17FVSZ764wfj68+upzYo2pNFoKDk9mSrOq0iJ9xKVviXFkYpcHwkJRLNnE33xhWXWSgkPJ2rQgKhECaKmTYk2bSrY67ZtY+UcEEA0aRLR4sW8GomK0n/+nTtE+/cTJRkQD/vxx0QzZ+Ye79qVaOPGos8rsVjSM9Kpxlc1KPZWbNbYif87Qa5fuWbVQCHSWeU/nvsxX2tcS3ar3FqscaK8Fblt+sgBjkxZtow371JTORpjzRpu+GsJ/PAD19xeuZI3Cw8e5I47dnZcafBFhIZy6nz37roxV1d+T/Q1ra5ShQ9DyMjQvzlaujQ/ZyEM2jIIe6/tzTVe0r4kzow6g/KlDOxIZUOUdiiNz9t9jtADodjan1sAhx4IxeT2k7MaPACAEAIhviEYuGUgXJxc0L9R/3znthN2mOE7A5P3TkZSahJOjjBz3orS6NPuSh9mt8gPH+bMwexW+PHj7LNNSzObWIXC3Z0oOjrn2I4dRC1bvvh1Gg0vxNTPLU0fPWIXi1Ls2kVUv35ON0pCAq8M/v1XuesWBLWaVzODBxONHs3/H3mwMHohvRH+Bt1Ku5V1LD66mHxW+RS6Op4kp1WuzxrXotFoyC/cjzac31DgubVWubVY40TSIs/Jhg3cEKJyZd1Y69Z87NoF/Mf4XbmNytOn3EdUW+tbS/v2HLr3IoTgkL+4OK5AqCUujrvtKIWfH9dQadaMi2mlpfEKaMECjo4xFxoNN6H46y9g6FDOJRg4EBg7luPlnyOoZRC+jP4Sd9PvoknVJsjUZGJ57HJ80+0bk/dvtAayW+Ua0uSyxrUIIbBr0K5CvccqtQod3LjGyfid43M816xaMwxpPsQw4YsRtqnIMzP1dw/StnIr7jg4cOGuY8e4zZqWw4dz9snMi48+4i5K69dz1cYrV4BRo3SJP0ogBHcCOniQGzY7OfHv9esrd82CsGMHJx8dP64LqRw0iBtjDBqUsxcsACcHJ3zm8xlmHpiJTW9twrpz65CqSsWGCxuw8eLGHOc2rdoUY1uPNdWdWCwjvEZg3pF5EBDY2G9jnucV9otSQGDLpS3o69k3R5/MiLgIqNQqqcgtnl692OIKCgLKluWxixeBQ4fYSiwIRFwf5ORJoE4dICAgZ0y60gQHc6r96tVsme/fz8p44cL8X/vRR1zjpE0bllmt5oScUaOUlVkIwNeXj+LCzp3cpi57XHyNGtxvdM8eXj08h9YqP/33acw5PAcZmRlwsHdAs2q6Fc6aswX8P5KgtENphPmHwU7Y6bXGi0r603SMajkKp/8+jem+0wFwPHnogVBs6LfBaNcpDtimIu/cmT+oTZtyanpKCjc4WLIEqFAh/9c/fsybpImJ7DLYvJmzJaOilHVPZGfoUN7YHDGCa6Y0bMiZkX0L0PpKCGDKFFbed+/yRmZRE3wsnTJlgHv3co8nJ/NzetBa5T1+7gG3cm4Y13ocdlzdkVUc6d7je5i8dzLW9V6H0b+Pxn3V/VxzuJVzw5d+Xxr1ViyZPp59jDpfiioFVRZUQflS5ZGiSkGT5U1Qwq4EktOTUeWlKqhTvo5Rr2dubLf6IcDL6d9/5442/fuzZV0QZs7kTvGbNulcNF98wRb9zp2KiZsnRJZZwKs4cP48R+ocOsTVHQH+Gw4ZAly7lmcZgvSn6fBc6onVPVajvVt7uIe5Y/Nbm9HatTWm7ZuG2w9vY0WPFWi3uh3cK7rD313X63H9hfXQkCYrUkOiDP029oO3qzcIhJj/i8GygGWovrA6FvgtwHjv8flPUAyRPTuNSYMGRDExOcceP+bkmvv3zSOTpOisXMnRM/7+RO3aEVWvTnTkSL4ve5qpy45dGrOUAiICciWf7L66m+ovqZ+VwKIvdlqiDOdun6Oq86vSnQd3qOr8qtR+dXsqN6dcvslExRko0bNTCDFfCHFZCHFOCPGLEMI2gmifPs3tirC3Z1eHJWyWSnIybBhb3yNGAFOncgSLj0++Lythp/NMDms+DOfunMP7v76PPvX7oG6FugCAN15+AxVLV8SGC+yTXXFqBVrWaAmv6l6K3IpER+OqjdGhdgesPbcWE9pOwOGkwwjtGAp7O3tzi2Z0DHKtCCG6ANhHRGohxDwAIKLP83tdsXGtFJXPPgP+/RdYtYpdGklJ7HOOiWF3TXnb+D6T5GTZiWUYHzkeB94/gIl7JkKtUQMAUlWpuJ56HQ0rN0RCcgL2D94vFbmJiLsTB7+1fgjzD8OE3RNwbfw1i1bkeblWDNrsJKLd2R4eA1DMA7CNRHAwb5h27Mj+9T172Ffu48PhfOvWcRRLcSY+nkPvnJx4g7RSJf0rjfR0/nJydgZatiy4L/7cOY5Nd3fn+Hwb8OEP9xqO5tWaw6u6F66nXMfk9pPRskZLEBFG/j4S8cnxqFu+rlTiJkRrlb//6/tY2WOlYkp8e8J2pKhSco1Xda6KN17Wky1tbPT5W4pyAPgNwKAXPD8SwEkAJ93c3BT2JJmAJ0+I5swheuklrtei9Y0fPVr8M0SnTePaKqNHE/XvT1SqFPv3S5Qgat2aaN8+Pm/dOi5q1bYtUb16vDdw8eKL5378mKhXL6KaNXlud3ciX1+b2ztYGrOUAiMCsx4vOb6EEAKKTop+waskSnD+znkKjAhU1Ddec2FNaruyLQ3cPDDr8PrWi5otb2bU66CoRbMA7AFwXs/RM9s5UwD8gmeumvwOi9/s1DJxItGMGbnHAwOJfvrJ5OIUiEOHiOrUIbp7lx+PGUPk7c1VIO/fJ9q8mahyZaKff2ZlHxfH52k0RCtWsGJ+Pr0/O1OnsiLPyODHmZlEQUFEQ4cqe1/FDNVTFdVcWJOOJB2hJ+on5L/Onz7d9Sk9UT+hJ2rZrNvaCDseRt1/7J71+Pnyu8YiL0Wer2uFiF64LhBCvA/gTQCdn13IdsjIACpWzD1enAtBbdgAjBwJuLhwrPSPP3I8/MCB7CL6z394sy80FBgzBmj0rAOLEMDw4cDy5cCBA0CnTvrnDw9nl402OcrOjrv91K7NmZ36MmqtkJIlSsLb1RvtVreDvbBHJmUi6s8ofH38azzVPMWWt7agt2c+xc0kFsNwr+GYe3guYm/FokWNFtj9526kqlLRr0E/k1zfoE+VEKIbgM8B+BJRunFEsiB69uTs0LFjdckjiYmsEJfmbk+VL5mZ7FcuVQqoV08Zv7JGo1Om16+zgq1QIWd5gjZtuHu9q2vu19esyV8AefHoUe7N3jJlOHs0r9IIVsqs12dhy+UteLXSqxjTagw+aP0BriRfgc9qH3Sqm8cNRs/CAAARX0lEQVQXoY1w7f41fH38a+iz/brX624av7IRKVWiFCa1n5RVyTHkQAim+0432caqoZ+qJQBKAoh6VgfhGBEpnOdtZJ4+BbZuBY4e5TZj776bu5fn88THAydOcFu4zp25cfN773HBpTVrgHnzCl/2dfduDn8rXZo3GCtXBiIijF+LpHdvtrSDgnhj9vp1trAPHWJrmgj44w/OFI2I0GWQAsDt23zu8uV5zx8YCHz3HVv0Wn74AXjttZzNlW2A+pXrw9vVG+f+OYfhXsMBAP899F982PpDlCtVzszSmZeMzAyExYRhZseZcHZ0zhqfe2SuUXpqfnnkSxxOOpxr3NHeESu6r0CF0gXI4C4kWqt8zuE5JrXGAcOjVtyNJYhZePQI6NaNLcVevYDLl9mV8OuvQLt2uc9Xq9m9EBkJvP46ZwU6OnJq/LFjRS8ElZTEro0NG9hlodFwnfGAAP7SMGYNl06d+J4bN+Zr1qnDmY3DhvEK4/BhVuYjRnD9mYAAfi45mSsVfvrpi7vbz5rFSvvKFb5WTAywbRuXL7BB1vZeixYrWuBRxiPcSL2BHVd24Oq4q+YWy+zUc6mHtxu+jRJ2JbKyLI/eOApHe0cMbjbY4PkfPHmAfx79g+AOwVljsbdisfrMajg5OBk8vz60Vvm4nePwU9+fTBrmaNsp+nPnsqLZtElndW7dCkyaxErsedfG4sX8/I4dbDkTAdOmcajdtm1Fl2PWLK558s03Occ7dAA+/1yZZhcnTnAVwtKl+Yvk22/5C8PXl5X4ihXsWmnVilPWnZ25SFeXLvnPff8+W+FxcZz2PnRo/qscLRkZwJYtumJk77xTsPo3xZgR20agqnNV3Ei7AfcK7pjmO83cIhULLt29hI5rOuLPD/+Es6Mzuq3rht71eyOoZZDBc997fA8eYR44OeJkVnJW4I+BeNPjTYxuNdrg+fNCpVZh/pH5CO4QrIgilyn6+vD21oXaadFoiNzciC5fzn2+lxfRH3/kHHv0iKhMGaLk5KLLMXYs0aJFucffe4/Tx5Xmgw+Ipk/POZaaymnr2XtsKs39+/we+/pyo+aBA4mqVSM6e9Z0MihA4r1EKj+3PLl86UIpj1PMLU6xYsCmATT30FyKToomt0VuRo3oyd7i7fjN41RrYS1SPVUZbX5zANlYQg+OjoBKlXNMo2GrUF81wPT03Bt5pUrpn6cwdOgAhIUBH36oWxk8eMAunODgF7/WGFy6lLuJQtmyQIMGXKu7enXlZQC48FjTprqMWYBdTGPGsMvHQqlboS6GNBuCmmVr2rxv/HmmvTYNHdd0xM6rOxHcPhiO9rrP3cTdE/FNzDe5XmMn7BA9NBrNqzd/4dwft/0YHmEeCO4QnNVCrmQJ69ynMajWisUzYAC7V7Ir4W+/5UiOunVznx8QwM9r2beP/cFPngDff8/lcItCnz6swHv1YjfGxo3sg+/bl6NXlMbTM7eiTEtjBa+tCGgKtm7lLzONhn//5BPgzh3g7FkuiWDBLOy6EJ+0/cTcYhQ7PCt7onPdzki8n5ir0YO/hz9qla2F+5/fR9qkNKRNSsP2gdtRzbkaGlVplO/cFUtXxJiWY/DuL+8i7k4chjYfqtRtmB99ZrrSR7FxrTx9SvTOO5yFOHIkL+nr1NHvViHiJBpPT6IePThrsUwZzohcsIDHXF2JIiPZPVNYHj0i+uoroo4dibp1I1q7lpNpTEFCAicBrVjBcly8SNSlC78npqRhQ6KDB4n8/IhatSKaN49lEIITlSRWye0Ht+nUrVO5xjUaDXVY3YHWnV2XNdZ5TWdaGVtwd2NyejKV+aIMLYtZZhRZzQ2KmtmpxFFsFLmWU6eIli4l2rKFU+9fxMOH7M92dCQaN47o2jWiIUM4C9LNjRVimzZEd+6YRHSjceIEK1AHBy7jOmOGLjvTVMyaRdS4McuhzR6dPZuVeq1a/MUrsSn2Ju6lV8NeJXWmmg7+dZDqLK5DGerC/V9eSb5i0aVrs5OXIrftqJWicvAgR5McPaqLZNm+nV0tYWHs5716laMvJAVHpeLYfAcHjnc/dw745x8OXQwI4EiYlrk37CXWCxHB9wdfBLUIwvdnvseARgMwzGuYucUyG4pUP7RZKlcGbt7k+PM1a1iZOzlxco2LCzBjBm8QpqTIkraFoVQpzipt3Zrft65dAX9/zgZ9/Nh229HZMEIIhHQMwdub3oazozPea5q7h6pEKvKi4enJMc6hocDDh1xvJSGBMzrXruXYbAcHwyJZbJUBA4BFi7iZtPOzjL/wcH5PGzcu2pxEXIp3505dWz83N6OJLFGW1+u8jhbVW2BQk0FwsDdhg3MLQiryorJ+PSudv//mzEi1msPnfH05wah27YInwUh0DBjAETQeHpzu/9dfnN26fXvRas8QcfhiZCRnsl67xiUVli8H+pkuhVpSdIQQ2PnOTggbqGlfVGzDR65WsxKwVyBlNjqaLTwvL6BHD/brRkTkneYvKRgXL/JeROXKnNla1DotkZEcxhgTo7Pwz57l8M7r13XFziQSC8A2feTXrgEff8xLajs73kBbtMi4lrKPD9dcCQ/nglK1awOxsXLpbigNGvBhKFu2cIEwZ11hJjRtyn74qCiO4TeAqfum4mbazVzjLk4uWNBlgUFzSyQFxXoV+aNHbHUFBXHrNa3ro0sX4NQp41rnZcsCH3yQ9/M3b7K7wMWFZVJiZSDRj709/+2fR602yt/hxK0TcHJwQs96PbPGdv25C9E3og2eWyIpMPpiEpU+TBJHvmoVJ+lkR6Ph+iq//ab89bXXmzKFqEIFoj59iFq0IPLwIIqPN831JVxL55VXctbCiY4mcnHh5CcDOZJ0hGovqp1VI0Sdqab6S+rTrqu7DJ5bInke2FytlYQEDmXLjhC8pL5yxTQybN3KS/uEBLbGAeB//wPefptXBdrNm7g4TsvPzOSlfosWppHPFujYEXjrLXbT9OkD3LvHLpV16zhk1EB8avmgnks9rDmzBiNajMCGCxtQoVQF+L3sZ7jsEkkBsd5aK40bcwhbdojYj13UMLbCEh7OiUNaJQ6wqyclhf3qANf47tKFC3UJwfVWpk83jXzGQqXiZJ2RI4GQEN5ELC4IwS61/fs5EqZzZ/5i9fc32iVm+M7A7EOzoVKrMPPgTIR0DJERFhKTYp0WeVoaW92HDnGm4LhxvNE5Zw7HEefVb9JYJCRwbfEDB7gDkY+PrviUnR3X1374kNvCzZ3LkS41avDzH33Em3F9+/LP4k5aGr+flSrxl1B8PGdfrl+v/PtcGOrXN363pWdorfLe63tLa1xiFqzPIlep2OqKj+fGwg0aAFOmsFIsU4abQtgpeNsxMRx26OLCccrx8fw4NpafP3kSuHWL3Se//cbLfa0SB/h1AweyW8YSWLSIKzRGRgKjR3OW69q1wKhRXMXQ1Fy8yM0+JkzgkgkmCq+d4TsDkVcjpTUuMQvWpcgfPuRWbElJbCG+8gqwaxd3rClThhNDyilcD3ryZG79FhICLFzIitnBgdPNAwN5Sb90KaebOzhwCdznefLEuO3dlGT7dlba2ZVX167sKjLVXoSWlSvZJ56RwX//0aP5/8EEytynlg+ODjsqrXGJWbAeRZ6Swi6MI0dYWVarBvj5cZalszP/fuyYsjIQsS92wAB+rFJxGORLL/EmW0IC1w1p0oSf792brfILF3RzJCYCP/1kOVmHTk5AamrOMbWa79sIm4kF5t9/uZ9odDSXSggOBk6f5sJmu3ebRATvmt7SGpeYBetR5Nqqg4MHs9U9dSoryfHj2U8dH698pxsh2AJPSuLHoaFA27YcuVKjBluoEyeyzx5geZYsAdq3Z+X/7rvsX549G3C3kL7WgwaxvA8f6sYWL2aXVq1appMjKop98tnfNycnbhxtSD9VicQCsJ7Nzqgojvbw8GBl6O/PS/xy5Thy5MED9p0rzciR3OVm/Xrgl19YiX/yCY8D7N6ZOlVnqQ8cyKuFrVvZpzxvXk6feXFn6FD2+7/yCteciY/nlng7dphWDkdHvu7zpKcXPb1fIrEU9AWXK30okhAUGEgUEcG/791L5O7O3X7s7LgxQWKi8a+pjydPiIYP5ySgkiWJypYlCgrSNUV48ICodGmi9HTTyGMq4uOJ1qwhiorSNYUwJQ8fElWqxB2GNBqi2FhuFFKjBlFMjOnlkUgUAEo0lhBCzALQE4AGwD8ABhPRrfxep0jRrM2b2SL/4w+gShVOrpkwgX2kx48b91oF4e+/+foqFfvptZEyISHAmTNcVEtiXKKiOPknM5Mfa63x1as5CUsisXCUKpo1n4imPbvAhwCmAxhl4JxFo08fjseuVw/w9uZNQ2dn8ynM6tWB777jSJVmzditExvLHW/27DGPTNZOp04co9+pE2f1+vvzJmjXrkCjRkDDhuaWUCJRBKOVsRVCTAbgRkSj8ztX0TK2d+5wLHfVqkCrVkWrYW1MiHiVcOYM8PLLrNgtJbTQ0tizh6NVYmJyjk+bxiuj+fPNI5dEYiQUK2MrhJgN4D0AqQBeN3Q+g6laFeje3dxS6BCCLcTilOVorSQn64+UqVWLXWwSiZWSb/ihEGKPEOK8nqMnABDRFCKqBSACQJ61XIUQI4UQJ4UQJ+/evWu8O5BItHTowKuf7P9fGg3H5csvUokVY0zXSm0A24moUX7nmrxDkMR2CAlhxT1xIvvLV63iUM+oKNm8WWLxKOJaEUJ4EJE2D7sHgMuGzCeRGExICO+NhIezAg8M5Fh3qcQlVoyhPvK5Qoh64PDD6zBXxIpEkp3AQD4kEhvBIEVORH2NJYhEIpFIiob11FqRSCQSG0UqcolEIrFwpCKXSCQSC0cqcolEIrFwpCKXSCQSC0cqcolEIrFwjJbZWaiLCnEXHHduibgA+NfcQpgQeb/Wjbxfy6I2EVV+ftAsitySEUKc1Jcia63I+7Vu5P1aB9K1IpFIJBaOVOQSiURi4UhFXni+M7cAJkber3Uj79cKkD5yiUQisXCkRS6RSCQWjlTkEolEYuFIRV5IhBDzhRCXhRDnhBC/CCHKm1smJRBCdBNCxAshrgohJplbHiURQtQSQvwhhLgkhLgghBhvbplMgRDCXghxWgjxu7llMQVCiPJCiE3PPr+XhBBtzS2TsZCKvPBEAWhERE0AJACYbGZ5jI4Qwh7AUgD+ABoAGCCEaGBeqRRFDWACEXkC8AYw1srvV8t4AJfMLYQJ+RpAJBHVB9AUVnTvUpEXEiLaTUTqZw+PAahpTnkUojWAq0SUSEQZAH4G0NPMMikGEf1NRKee/f4A/AF3Na9UyiKEqAkgEMBKc8tiCoQQZQG8BmAVABBRBhGlmFcq4yEVuWEMBbDT3EIogCuAG9ke34SVKzYtQog6AJoDOG5eSRRnMYDPwG0abYGXAdwF8P0zd9JKIcRL5hbKWEhFrgchxB4hxHk9R89s50wBL8kjzCepYgg9Y1YfpyqEcAawGcBHRJRmbnmUQgjxJoB/iCjW3LKYkBIAvAD8j4iaA3gEwGr2fgxtvmyVENEbL3peCPE+gDcBdCbrDMS/CaBWtsc1AdwykywmQQjhAFbiEUS0xdzyKEw7AD2EEAEASgEoK4RYR0SDzCyXktwEcJOItCutTbAiRS4t8kIihOgG4HMAPYgo3dzyKMQJAB5CiLpCCEcA/QFsM7NMiiGEEGDf6SUiWmhueZSGiCYTUU0iqgP+2+6zciUOIroN4IYQot6zoc4ALppRJKMiLfLCswRASQBR/PnHMSIaZV6RjAsRqYUQHwDYBcAewGoiumBmsZSkHYB3AcQJIc48Gwsmoh1mlElifMYBiHhmnCQCGGJmeYyGTNGXSCQSC0e6ViQSicTCkYpcIpFILBypyCUSicTCkYpcIpFILBypyCUSicTCkYpcIpFILBypyCUSicTC+X9ifzwB002hsAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 4 / 20 总距离： 470.5010797396539\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 5 / 20 总距离： 464.7041092139689\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 6 / 20 总距离： 449.6383544637522\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 7 / 20 总距离： 429.4266727436221\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 8 / 20 总距离： 414.96952597516133\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 9 / 20 总距离： 411.23452583362337\n"
     ]
    },
    {
     "data": {
      "image/png": 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16KHT0k1ObCwHs8PClGNyOVG3bkRLlxrlktrGpbWNvWd1XGbXM3d8X0J3Xse9Jpd5LhQRE5E6tiN0B9X9vS7J5XIzrsy4QEOMPPdmrVSrxt50Wq5cYf3vrDTA79zh8MvlyxyiOX6ci3J69wY+flR/zocPrI+SvtuPqyt/lp25fJlz1NPqpQsCKyMeP26+dUG7jBJt9FQyQ8rnznkUtiuM0bVGY865OQDYG/cL9INvM98cUcAjNrnXkE+ZwtremzdziOPwYdZVmTYt69ZqW7dy3nbp0sqxZs04BfDgQfXn1KjBcex//1WOEXFT43btDP8+xsTZmTeE5XLV8agoo1bNqNPjVozrQlrxKyl9MO8wocEE/Hn7Tzx5/wS7bu9CAZsCaFc6m/+tGQmDd80EQSgOYBMADwByAGuIaFnmZ5mAJk3Yi545kzccvb25VVvv3lmfGx/PnnR6nJy4KYQ6bG25uUW7dlyRWbIka4m/eZP9O9NXq8bfbelS4Lvv2KI+fsxaNEaStM1MVlYywBLaoPDKZ52dhaCnQVjYZmGe9MYBETY7BUEoAqAIEV0VBMEBQAiAbkR0W9M52V7G9sQJVkQMCVFucEZGcoOJGze4QlQTN25w5sfr19xObeBA4+mki8mjR9w4Iy6ONzuvXeP+o2PHGu2SmW1AZqUfnvbcrNQNiXRLd5RSI3MOb+LfoNSyUqjoWhHBw4NzvSE3mowtEUUBiPrv51hBEO4AKAZAoyE3GJmMKzTv3WOp15Ytxe1E36oVl8PXqwcMH87G7bffuLFEZkYc4CYXy8z/QKIzpUqxfEFICFurunXZSzcTith4emOv79+pLgZYrM490g3B+BS2K4wV7VegfOHyud6IZ4ao6YeCIHgBOAugMhF9SPfZKACjAKBEiRK1IiIi9LvIy5ecCpg/PxvaM2e4KcLffwMFCxqyfFXkcr5Z7N/PYZN+/fh6moiN5RuMGY1fTkOblEBtjKE2HrxY69LlzyWvN46QEB+j55ELglAAQCCAWUS0O7NjDQqt9OvH7cjmzeO/CLmcC1cUMV5jIJfzpuX69ZyB0qYNV4i6u/MG55dfAqdP87F16nDlZaVK+l0rIQGYP5/j60lJQLduvHGrz6bjvXu82fvhA+uZt2sn7pOLgYiV2y225ysZconsiiZDLspftSAI1gD+ArA1KyNuECkpnA44ebLyr93Cgluu7dhhtMti4kQumPn5Z2DDBhbbatyYNzLbtGHj/fIlr00Q2HM/elT36xABn3/OIY6NG7kj0fv3QIsWQGKibnMFBHDxU0ICh4MmTeKNXplMecypU9wTtEwZVlS8eFH3NRuAQo/bUHlZKX0wZzJg9wCU9S+b4VX9t+pISEkw9/JyFuqSy3V5ARDAWStLtT1H74KgpCQiGxuijx9VxyMiiAoX1m/OrHj6lCtD3r1THe/Xj2joUKKGDfn9xIlE3t5Ec+YQValC5OJC9PPPul3rn3+IypQhSk5WjsnlRC1aEG3dqv08Hz7wmm/eVI4lJhLVrUu0fTu/37ePqEgRok2biO7eJfrtNy56OntWtzUbCXMKWYl17czmkQqQiCafmEydAzpT2Juw1JfvaV9qvqG5uZcmCvFJ8RQVG5Xh9Trutd5zwoiiWY0AfAHgpiAICvGDyUT0twhzq2JtzeEBf3/eeFSwZAl7lMbg6lUWv0of++7cmUMgjRpx7viOHdxrU3Hc8+esJ96/PxfbaHut1q1V5QMEgb/z1as8lzacPct57ZUrK8dsbICRI4EDB4A+ffjpYv16DrkAQLlyrKvi68vNK8yMObvnmOLaYmym5nQmNJiAsivKwsbSBl5OXkiRp2Dzjc1Y22WtuZcmCsP2D8O+u/tQMJ9y705GMryJf4NH4x7By8lLtGuJkbUSBPbKTcOSJZylEhzMIYzTpzlOfeaMca7n6cmVnnK5anz59m02fidOcBOIvn3ZiBNxH9CRI/nnQ4e0N+ReXsC2bRnHr19n4S9tyZdPfb57XBxv3CYm8ndK30yjY0fg66+1v44RMXfDZjHQdEOQYArZFcKYWmMw+9xsrOm8BltvbEVxx+Jo7tXc3EsThSHVhuDGyxu4MeYGLC0sAQAbr23EhusbRDXiQE6s7PT25o4+nTuzGuDgweyturkZ53o1anAThx9/5EIhIo5/r17N3mvJkiw1++gRr2v0aLYEPXrwJqMuOeTt2vG5v/zCcrXJyezVnzrFTTG0pVkzvrkdOqQce/0aWL6cvXobG5YTuHtX9bybN3kjOQ+jrtpUEHSvNgU0x+4llExoMAF/3fkLD6If4Jezv2B6s+nmXpJotPVpi4L5CmLX7V0AuDeo0b6juniLsV8mbSyRluhootu3ieLjdTvv5UuiLl1YcKtIEaKyZYmOHuXP4uOJxo0jsrAgKlaM6LvviN6+5cYPzs5EL17odq0nT4g6diQqUIDIwYGoSROiGzd0m4OI6Px5bkDx2WdEAwdyzN7XV/n57Nkc34/4T3QoLIxj+7//rvu1MiGnCVKZIjaf1xtZ3H97n6xnWJPgK5DgKxB8kfoavm+4uZcnKkfuH6GKKytSiiyFNvy7weD4PzTEyPOGIU9IIBo9mg1xmTJEhQoRLV6s+zyvXxM9epRR4ZCIKCCA1RK7dCHq1Ikt1V9/qZ/j99+JVqzguTQRE8M3BEOIjyfauZOVHB8/Vv1MJiOaNo0NfLFivNG5cCFvropITjNakiE3PjK5jKquqkp77+wlmVxGrz6+Iqe5TlR6eWnad3efuZcnKnK5nOqvrU9brm8hn2U+dPrRaYPmy9uG/NtvWY5WYRjv3SMqX55o2zZxrxMdzXNu386GOD27d7OB79uXaNgwvqHMny/uGnTl0yf2yhMTjTJ9TjNaplhvTntKMQZ/3f6Laq6umSo5u+PmDqrxW41cKUF75P4Ryj8zvyjZOHnXkMfHsyeePsRx4ABRo0amW0d0NP+lpu21+fw5h2qM0X9TLldNY9SVhw+Jfv2VaONG9TelNGgyTProg5ubnHbjyakovPL9d/eTXC6n6r9Vz3XeuAK5XE69d/amf578Y/Bcmgx5ztvs1JX37zltMX3vzPLlOUXQUIg4XW/CBE7pu61BYubgQRbRSttrs2hR1nL580/D16EgOZnX4erK2SsNG3I6oi788gsXOV2+zEVJPj4Ztd3ToE4zPC1pxyVlQwkAsBAsML3ZdPgG+mJf2D4IENC5bDbvoqUngiBgR88daFi8odGukfsNuZsba7GcP686vnevbil96iBieYBvvmHDmZLCVZhr1eTBpqRwtkh6bGzY+IqFQrXx4kVOMxw/nqtFb97U7vygIFZvvH2bZQn27AF272ZphE+fxFunERAj40SsalOJrOlWvhtS5CkYvn84fJvnzYYQoqHOTTf2y+Qx8u3beUPvjz+IrlwhmjmTN/dCQw2b9/BhokqViOLilGP373Mo580b1WNfvODN0AcPlGPv3hF5eREFBRm2DgWvXvE10lehzp3LMXlt+PprPj49LVtyNaga1IUd0oZSTBUPlsIiOY8DYQeo+YbmuTI2bgxgxMrO7E+fPuyZL1vGr9q1gXPnuKDHEPbvZ488ba546dLslR87xl6sAnd3btRQvz5rlNvbs6BVz54c/hCDR484DJK+CjWzzkbpSUrioqH02NryZzqSvrhGEoySSEunsp3QsUxHk3rj8/+Zn5rbnRZLC0ts6b4FPi4+Wc6x9cZWXHp+KcO4taU1pjWbplLNaQryhiEH2Li2aCHunPnycZFQehQVlOkZMYKLdXbsYDGrnTtZ91ssSpcGwsNZzKtwYeX4pk3ctq1hQ77ed99xIZM6unXjFnkjRypvUHfucGgqIEC8tUpI/EdaIx6TEMNZGOlwyOcAKwtxzJWrnStik2KxsdvG1LHQV6GYdHISPAp4aDVHSFQIAiMCMbT60NSx8HfhWPfvOkxrNk2UdeqCqHrk2pLtOwRpy6VLHH++eJE3LgEgMJC97IgI83QGmjiR17V0KXvn//sfx7ynTuWGGQcP8pNAUBBXyaaHiG84587xk8O7d3z8kiXcjBmaZWO1wZhNFSTZ2JzN2YizaLahGZxsVZ8oPyZ9xPcNvsec1nMMmn/yycmY/898AKx5YiFYQIAAQRBQt2hdNPdqjhE1RyCfVT4UdSia6VxRsVGovKoybn11K9X4D947GD7OPkY15JpkbPNGjNwQ5HKiPXuI+vdnxcOdO1ULgubP54DvgAFckVmoENGJE9rPL5MRXbrEyodJSYavNyWF1+TtTWRnR2RrS7R+veox06YRjRiheQ65nOjMGaL//Y9oxgyO+6chu8aixV6XlO9tWpJSkshrqRedfaxU4PyY+JHcF7jTjRd6VDen41zEOSq5pCTFJ8XT71d+J8c5jmQ/y54s/SzJwteCSiwpQUUWFiELPwt6n/A+y/nGHx5P3x35joiI7r25R4XmFaJ3n95lcZZhIM/mkRvKmDFcur5mDVdI1qhBNGSIagXk06f8WUAAS8hqS0gIV5qWL8/zFilC9Pff4q390SPe5E3PzZtE5crpPW12NeRiGt7M5hLje0o3CfWsDVlLrTa2Sn2/4J8F1PPPnqLN33pTa1obspaSUpLIbYEbFZhVgGqurkkL/1lIRESzzs6i/n/112quyA+R5DLPhaJio2jQnkHkd8ZPtHVqQjLkunD3LnvgHh5E1tZE/v5Kwx0XR+Tjw1omhhAfz4Z7xw7l3GfPskf/5IlhcyuIiSEqWJCLkdKydy9Rs2Z6T2tuQ24KI6iYU9txfebXZTyvoPDKz0WcE9UbV3Au4hx5LfWipJQkmnRiEsEX5DzHmT4mfqT3Ce+p8PzCdOf1Ha3nG394PHXb3s0k3jiRZkOe+/PIdeXxY96QrFIFGDQI6NSJ86n9/PhzOzugVy/OSjGEAwe4UXPv3kqt0yZN+P3WrYbNrcDRkVUYv/2WZX537uQY/qRJ3J5OC9TlZivGzYW6AiSSio1yBdaW1vi5yc/wC/TDqiur0KRkE1RxryLa/I1LNEZpl9LYdH0TrkZdhYONAwraFoSdtR1WXFqBtj5tUb5wea3n+1+j/+HIgyMYW29shti+KZEMeXqWLuWUwp9+4s7yr19zuuK8eZy9AQAvXhjeZPntW/WSscWLc9aJWEybxrK7rVpxJkqLFkCBArwhqwWaqjYloylhLAZVG4QH0Q8wI3AGpjUVf+NwerPp+PHEj7jz5g7ufH0H+a3yY/ed3VgSvARTm07Vaa4iDkVwbOAxTGwwUfR16oJkyNMTEsJdcxISuAHyhQvshjo4cD720qWcP963r2HXadaMM0hiY5VjKSlcri9mmuQPP7Bm+5MnrGseFQXkzw+sXJnx2Dt3gF9/5e+tLq3yPxRVjlL1o4QxsLa0xtxWc9G/Sn9RvXEFjUs0RuMSjTGj+QwUK1gM05tPx4DdA3T2xhU0KdkE9jb2oq9TF6T0w/QMGgTUrAlYWnJjhokTOQ0vOpo99PBwNuQdOxp+rW++4TTAiROVxtXeHti3j69vKO/fs4cfGcleuILAQNaGCQnh90TAuHEceunUiTVo/v0X2L8fQt06UPdPxJwpfaZIM1TcmNQ9eYiRQimlSpqH8OhwDNwzECmylNT8dQIhPDocw2sMx4K2C8y8wszRlH6YdwqCtOXbb9mYFSvGHYCqVQOaNuVuRD/9xMbXQ7uigSzx9+fuQtu2cdXkgAHsPYthxAH2qq2tM+azFyqk+iSwZw/H0MPCgIL/VaTt3g307QsL3AMg0npyEGIbcXW59+bqSZqX8SjggfDocMxtPReV3ZQ9bQfvHYxKbpXMuDLDkEIr6alThzc3793jtmhlyrAg1v793Cs0MVG9+BXAwlRdu7IxLFUKmD2bwyWaEATeON29m8MsI0aw4dVEfDwwdy6HeBo3Blas0Cy4RcQGu3hxFghLy9q13FZOwbZt7KEXTFNW3KMHYGeHOriseT1q0Fe4SpfzTCFspalNm76euKYNWkCc+SW0w97GPnWDsm6xuqhbrC4+JX9CsiwZA6sONPfy9EbyyNXRsSPHihcvZvlWRbn7pk0c+kjbnV7B48dA69bK7vRPn7JxfPaM5zKUlBSgQwfeZJ0zhz34efO4AnPHDuVxSfmBc+QAACAASURBVElcxfn779wztHx53rz95x/Okvn7b+5xeu6c8pzkZI36Ki4FknXyHBUGKz1ZSWnocp5k7CQM4cvaX2Lh+YXo+WdPRLyPQNibMBSyK4QG61gN1d7aHkcHHkU+q3xmXqn2SIZcEwMHKo1fx44sSBUWxoZQnXXx9weGDOHQDMCu5O7dgJcXG9YiRQxbz6FDLCN76hRg8d+DVPPmbKgvX+YnCYDTCl+9YmPt6Qn89RePxcYCx4+z3sqaNZyaqKBrV77ZfP658ong/Hng2TP8/bYeoOEBREIiJ2JvY4/vG36PNSFr4GrnioL5CiLg8wBYCVbYfWc3zj45CxvLnPWPXjLkmrCwAFavBsaO5c3Bdu04dp5Pw106NJS1v9Pi6Mj56GFhhhvy8+fZ4FqkiYbly8c3mfPn2ZBHRXG8OyKCs2wAVn4MD+exLVtU50xK4nj8wIEcfqldm49/9oyzZzZu1BxGkpDIwXxZ+0vMC5qH8HfhWNR2ERp4NoBMLsMXe76Af3v/HKeNLsXINUHE3u+uXWzsWrXSbMQBoGxZIDhYdSw+nhs0+GQti5klRYvyDSE9YWFKwa5Hj3gdCiOuoF49jvkruH2bb0wFCnBcfPRo3heYO5djHMWLc9aKGJk5EhLZEHsbe/zY+Ec42DjgUcwjAMCOWzuQzyof2m9tD8sZlhlePxz7wcyrzgR15Z66vgD8AeAVgFBtjs/2JfqJiUSdOnHTiMmTifr0IXJzI7p4UfM5d+8SFS5MtHkzi189fkzUrRvRF1+Is6bXr7kZxp9/ckl/SgrRqlVEJUoQJSTwMYrGEoom0wp+/pnom2+Ux3h4sOzAp0887+jRRI0bq+rH6Im+pee5vWRd0lbJfsjkMrr96jY5z3Wmp++fUjn/cvT3vb/Ja6kXnXl0hlJkKZQiS6GE5ATyXuZNZx6dMfeSjau1AqApgJq5xpD7+xO1bq2qRrhzJ4tbZWbszp8natKEyNKSDer33yuNrBgEB/PNxdOTyN2dqG5dojvpdCHGjSNq2pQ7Ib15Q7RyJd8AFAqG8+cTDR2qeo5MRlS2rFr9GEFQb4AEQf0SdTFY2jRtlgydhLEZf3g8VVpZiRqua0hyuZzWhqyl1ptap36+/t/11GJDCzOuUIlRDTnPD69cY8ibNyc6dEh1TC7ntmy3bmV9flKSKN6tWuRyonv3WNlQHQoZWx8fIgcHfrK4dk35+ciR7MmnZ+BAog0bMgwb01PWdm5NBl/TTUYy/hLakixLpicxTyj/zPx0+P5hSpYlU3xSfKpwV7IsmXyW+WQLb5xIsyE32WanIAijAIwCgBIlSpjqsvohCIBcnnGcKOs8OiDzXHBDEQTObdeEpSWX5f+gIZ5XuTIX/4wZoxxLSQHOnuV0SQPR1HTCkGrIzFITNY3rijHWLWEYSbIkyOSyDONWFlawtjT8b+zmy5uo9ls13tgkoFNAJwDcdKJ5yebwC/TDgCoDUMKxBJp5NTP4esZEtBJ9QRC8ABwkIjVJ1qpk6xJ9gFPxdu0CjhxRZm1s2wbMmsVFP9ltR1smY+P87h0rKLq7az72/XugenXu9jNmDL+fNo1TG9X09UxrLLUxdrqUnmt7rK7l7PqUuUsl89mPQvMLITYxFpYWysriFHkKyhYqi1tf3TJ4fplchiqrqmBpu6Vo69M2df5Kv1aCf3t/jD44Gh8SP2B3793ZxpBLJfq6MHIkcPIkpw526QI8eMDiWZpyyM3J7du8RicnlhUYOZK98cmT1R/v6MjplFOn8vezs+P0w2lZq8yl9YzTGrjs9ivJDkgevuH0rtgbTrZOKi3ehuwdAm9nNS0K9cDSwhLTmk2D7xlftPFuA0EQsD10O9zt3dHGuw1mtpiJHbd2ZBsjninq4i36vJBTYuQvXnD2SfpmC+mRy4nOnSOaPZvojz906/xjKuRyogoVuDuRgqgojo8fOybKJdLGq3X9WdM8uh6btjOPNvFwfeL3Yu8F5PYsHFMQERNBLvNc6HXcayIiuv/2PhWeX1jUBg4pshSqsKICHX1wlJJlyVTWvyydfHgy9XO5sfa69ATGbCwhCMI2ABcAlBME4ZkgCMPFmFdUEhO5VL1CBeCrr7jx8KRJ6mPhALuZjRvzMUOHZszNzg7P21eu8DqGDVOOeXiwmuLGjZrP04H0DSXSvzcEXTRTJF30vEcJxxLoXbE3Fp1fBACYeXYmvq37ragNHNJ65dtuboO7vTtaeCllpHNKYZAohpyI+hFRESKyJiJPIlonxryiMmkSP9NGRLABDAsDTp/WXQclIACoVIk3FStWzFgtaUpiY5VqU2lJr25oAHK5eoEnTfc/XdBWmEqT/rm6m4uki567mNRkEtZcXYPgZ8E4dP8QxtYbK/o1elXshZiEGIw9Mha+zX1zjPFWQZ2bbuyXyUMryclEjo7cJDktQUGcl60t27YRlSrFHeZTUogCAzmMsWmTuOvVlrg4IhcXotBQ5ZhMRtS2LdFvv4l+OW3CBWLkkesSLhErVCF2wY4UWhGPMQfGUME5BY3a3HjPnT3UOaBztgulpAcaQit5o7HEx48sRRsXp6pVEhXFolivX2s3T9Wq3CGoZUvl2NmznP1x+7a4a9aWzZt5c/PLL3mzc+tWdpePHlWvaGgAYm/gGSPDJbuQ09abnXny/gm6be+GU4NPmbUvZnZAU9ZK3jDkRNz1x8+PMzwULF/OGRx//aXdPNbWfFNIq7kik/G4TGa+9I0bN1g6NzqaNWH69MlcFyabkFsNuaYbHiBlreRETjw8gUvPL2UYtxQsMab2GDjaOqo5yzjk7fRDQQAWLOBGET/+yCp/J06wuuHJk9rPU7Ei63i3bq0cO3eON1DNGVerWhVYssR81zcBio1RdePZjcwKmCQjnvM4Fn4Me+7uQa+KvVLH3sS/wYZrGzCo2iCTGnJN5B31w9atOdwQGsrNH969Y/nXKjo0d50yhbv4nDjBWTCnTnHGyJQpxlu3BADxO/ZISGjLhAYT8Db+Lb6t+y1mt5qN2a1mwyW/C0bUHIEiDgbKU4tE3gitaMvRoyzleucOe98//QS0bat6zJ9/coXn7dvsiU+eDPTta5715nAMDZdk16KbnBQGym08fPcQHxI/ZBh3tnVGSaeSes874egEyEmOpe2W4nXca5RfWR7XRl9DccfihixXZ/JujJyIS88DAtiL7tyZKxnT66EcOMCblkuXAo0acXf78eO5m06nTqZZax7DUEOcXQ1mdl1XXsBlngsK5iuosin69tNb2FnbIewbNXr+WvLi4wtUXFkRt766hWUXl+FD4gf82lGEFo46krdi5EScL25jAyxbxkb6u++43+Zvv3ELtr17VbvV+/pyn8sOHfh9795cvu7nJxlyIyGFRSTE5pu63+D5h+dY11VZytJ1e1e0LtU6k7OyxqOAB4ZUH4Ifjv+Aww8O49roa4YuVVzU5SQa+2XUPPILF4iqVuXmCU5ORFZWRFevKj9PTiaqWZNo/37V8ywsVPXHiVhL3MrKeGuVMIjsmqstNZEwH2/j35LLPBcKjw4nIqKQyBAquqgofUr+ZPDcUbFRZDvTlr48+KXBc+kLjFmin214+ZLTC3/+GYiM5G7z1auzd52czMdYWQH9+vGGZVq8vblhcVquXuVxCQkdkDZmzYdLfhd8XedrzDo7CwDgF+iHnxr9BFsrw2sqPAp4YGevnfBr7mfwXGKTuwz55s0cA+/ViwOSrq6sCujuzhuZCp4/516Vhw9zDnl0NOuTjBjBWS0A/3fkSB6XkMgEhUpC+peLi7lXljcZX3889obtxa7bu3Al8gpG1hop2tydynaCq72raPOJRe4y5M+fc7aJgo4dgVu3uMLx2TMeu3KFGw3//jswezYX0ii87pEjOUvFyQn47DNuSjxSvH8EuRVzGTJdRLeMiTpBLyJJ0MtcKLzyvrv6iuaNZ3dyV9bKtm28mXnmjLJ65MIFbrZQqhRQuDBri8tkrA7YuTMfEx7OSoeHD3Ne+fv3rNuddjNUG1JSgOPHueS/cePsF5Yh4tz5v/7i30/v3kC9egZPm9ezNPL698+ORH+KxleHvsKGbhtylSHPG+mHSUlstH18gG++4a43s2ezAR8/HkhI4DDKihWsfJgWX19WDFy0SL9r373LTwDu7kDJkmzQBw8GFi40T9Xn+/fAvn1AfDw/XZQqxVWtO3cCw4ezHsvvv3NBk6+vQZfK64Ysr39/CdORN9IPbWzYgC5ezIbcxobL8r/6ijc5Ac4nV/fMX6gQi2jpAxFvoP74IzBqFI/FxADNmgHz5gGXLwMhIWzgJ0wAunZVP8/Hj8D27XxTqFCBC43s7XVfz7Fj/L2bNOEw0c8/81x793KrOkXsYcwY7uHZty9Qvrx+3z0bULBg5qq9Dg7Ah4w1IhISuQd1qSzGfpm9Q5CTE9GTJ8qxxEROSdy7V785Q0OJvLxYQjYtM2cS2dgQLVxINGsWUbduRIULE61cmXGOiAiWyO3alWjePKLOnYm8vVXXqQ1xcXyNc+eUYy9esIxvv34Zj//qK16fAZg7DVB9hFr1Zezr6zIuIaEv0JB+mLs8cm1wd+f+lA0bsqfu5MSbnyVL6l/4Ex/Pbp9Fur3jQ4f4en5+HMqIiwPy5+enhUqV2GNX8MMPHIqZPp3f/+9/3Ffzp59YmlZbjh4FatTgGH3a79ywIXvj6fn4UXS527xGThL0ksid5K6sFW357jtg1y7Ocrl8WRk71nVzU0H16sDbt7yRqEAuB/79l3PbY2PZiAMctyfim8bHjzxGxPHsceNU5x03jsMhupCcrN4w164N3L+vqpt+/TpXvX7+uW7XSEd2yR4xF1LeuIS5yXseuYJ69UTJ2ADAui2rV3Pse/BgwMuLxbUAzRudRMCOHbzxqJgjIUH1mMREjvPrQps2nDYZFgaUK8djcXGcqTJ2LOvItGzJmTtnz7KWjIeHbtdIR14wWNlVoEtCAsirHrkx6NQJCA7m0MnNm9yxp21bNsbqiIvjVEiAjX3fvsCMGarNMWfMUK+sSMQFS4GBSq9egbMzC381bswbqzNm8BNDgwa88RoeDnTvzqmHDx8CPXuK9zsQAWPlpBs6r5QrLpGdyV3ph2Jy8SILboWHsyGcOBEoW1a3Odau5Xi4OmNub8/zKzzy6GigfXtOoWzYEPjnH74pHD7McfyEBJYVePaM533zBihalD3v2bPZC0/L/fucVx8Xx0JgTZuKkgYptmeq7XyZpfJp+7UMSRHUNcVQ8uAljEHeyCMXi7//5vzqn38GatXilMYVK7ibkC6NKGJjuY+mutw4BwfWgylQQDkml/M1FOmHLVvyBuqZM9y+rWJFjrsnJgK//goMHQrcu8ft3QICON3QyIidM53+PMV7TeOa5tAGUxpyKbdcwhhoMuR5L/0wK+RyokqViI4cUR1fupTo8891n+/cOSIHByJ7e34at7fn92nTAzMjNpbTCU+eJLp2jVMUb90icnUlunuXj1m2jGjQIN3Xpgdip9qlP0/xXt24JkVBB4fMUw8Vnxuybl3Pl1ISJYwBjKl+KAhCO0EQwgRBeCAIwk9izKkWIu7eExrK3qsxeP+etczTdwb6/HNuNqErjRuz571sGacSTpnCxTrjxnEIxc+PM1s0ceAAb8q2bMmZMcWKsWc+eDB74QBQvDh/lsvRFKP+8CHzLHKpGEgit2OwIRcEwRLASgDtAVQE0E8QhIqZn6UH165xk+H27Tk7pEIF1XQ/sbCz4zTEyEjV8QcPgCJ69ucrUIBj4XXqAPPnA5s2cTniy5fAunVAzZoci1dHXJxyR652bRYBW7mSM06OHOEwTEAA0KKFfmuT0Iq8nmIpkc1R56br8gLQAMDRNO8nAZiU2Tk6h1Y+fiQqUoRo82YOfcjlXIXp6kr05o2+TymamTCBKyvfveP3T58S1ahBtGaN/nN++sTrrVqVaOtWHktOJmrWjCs+Bw5Uf97jx0QuLlydmZhIVL48kbU1xwsaNeLK0ZIlid6/139tOmDs0IqmpgyGXtfUzR6k0IqEMYARQyvFADxN8/7Zf2PisWcPbzoOHKh0hbp2ZTGobdtEvRQAzgLx8GChqWrV+EmgWzfWK9eX4GDOLw8L49Q/gPVfRo/mIqFjx9Sfp9BnqVuX9VxkMg6lFCrEnv5XX/FmqrU1h5uMvJOmyTMF9EsRTD+fItPD2VnV5BqKqYt2JA9ewpSIURCkLmcgw5+eIAijAIwCgBIlSuh2hZcv1UvC+vgAL17oNpc25MvHhTKzZ3O6n48PZ5noS3Aw53PfuMFSt4GBnGkCcB44EcvmamLKFKB5c+CLL/hmMH48560rJAHOnOFCoIsXuYCob19gwQKjCIJHR2eekaHPfLmR3Pq9chIhkSEIuBmg8fP+VfqjVtFaJlyR8RDDkD8DUDzNe08AkekPIqI1ANYAnH6o0xUaN+YNwvnz2cgCbBD37OExY1G4ML8MYcsW9rorVeLS+UKF2AgfPcqpjIsW8fiwYZnP06gRUL8+x8K7dFGOx8Tw5u/o0Rwz//SJ9Vo6duQ9BHNI6BoBTXomQMZxKVdbAgAi3kdg6cWlkFPGxAhLwRKNSjTKNYZcjNDKZQBlBEEoJQiCDYC+APaLMK+SunX51aYNa5L8/TcbqqJFeSy7EhTEud6tW3MIpE4dzoixsGCD7O7O72vUAL7/Puv5Bgxgw582Q2X8eL4RLF/OoRZXV94M/fiRPf9cgrrQCCBVW0poplv5bijhqP7pv4RjCXQr383EKzIeBnvkRJQiCMI3AI4CsATwBxHdMnhlaREE7sf5xx+Avz/HiXv0YO3v9IqD2QUiruqUyYDduzkTZsgQHrt/nxtbrFzJNyIvL+3m7NCBOx6VLcvpkc+fc4HQmDGqvwdBYO89LIxDMhISeRALwQIL2izA0H1D8TFJKWVRwKYAFrRZAAshm9oOPZAqO43FixccTrGyYs9Y0bghNJQNsq0tV2XqQ0QEz+niwj+fPMk3CwUyGW/UNmnCjSMGDAB03ZfIhOxStZhd1iGRfZGTHD7LffA45nHqWCmnUngw9kGONOSaKjtz3jfJKeTPz5Kyo0Zx/FqxKXvnDodGvv1W/7lLlgQGDeJY+6BBnGM/dSpvCt+/z5uzb9+y+uGzZ5ynvm+fON8LOTcjQ+p2n/dQeOUFbFgKIzd644BkyI2HoyOHTeLiuDKzQgVOaezThzNLXrwQJ+PGwYGLgx4/5pBL7dossBURwQ00Vq5k4a2RIzPK5OqJqVL5xDa8plQwlG4a2YceFXqgsB0nLbjauaJ7he5mXpH4SIZcH4g4Nn3kSObW67ffOPVw3z7e2Hz9mpUUPT1ZUrZYMU4VNLS83tOT9xDu3+fqU1tbzjnfsYPXWqcOG/lz5wy7jonJyvBm5ycDSfY2+6DwygHkSm8ckAy57jx7xhuJvXoBCxdyGGPuXPXHurqyHO3SpcDTp8D+/bxB+d133B6ufXtu+Nyli+FB3eho1m6Ry9nrHzMGmDmT89cB/ZpUZHOkzjwS2tKjQg/80eWPXOmNA3nRkJ87xznpLVty6OH1a93O79+fY9P37rE+eGgoZ9McPKj+eEHgzccmTbi1WvfunDNuY8ObkK6u7JEHBxv2vX77jfPtFy9moa1WrVh+d+lSYPt2DuM0amTYNSQkcigWggWG1hiaK71xIK8Z8o0bOeTQuDErEb58yfHrzNQH03L/PotnTZqkTPcrVowrL9et03yeuzvw6BGfWytNAcLDhxw3r1mTfzaECxdYRqBjR/b0y5XjG5WlJXvn27dzBo2EUUgfEwekmLiE6cg7hjwxkTvT//03F+e0bct9Njt0YC9WG2Ji2INObxCLFMk8+Fm7Nm9Kvnql1FQJCeGc+MGDOZWwWjX9vlfaNYSFsfVYtIg3QKtU4VjD8eOSNw7jxtTTx8QBKSYuYTryjot29y6Xx1etqjrepw/www/azVG1Kocorl9XNbybNmVeYSoILCfQpw/roTg4cAaJiwvH2qtX53xvQxgzhm9KzZpxDL9kSeDJE15znTqGzW0mNJXl62t4dYmdG9qqLe3a036H7LARmx1Ye3Ut7r+9n2HcztoOU5pOgZVF3jFNYpB3fluFC7NHnJDAWR0KHj9mL1sb8uVj771dO96w9PbmzJC7d7kVXGYUL87aJyNGADt3sh65rS2P37jBNwhDutnXrMmphr17c/z93Tve/PzzT/3nNDPm3LRUeNjp0Va6RrH29Me/e6d8CsjLm7KHHxzGq7hX6FSmU+rYjVc3EPQkCFOaTtF6Hv+L/ph8arLaz3b22ol2pdvptb4UeYracUvBEkJ21C9Sp21r7JfZWr116kQ0bhzrehMRPXxIVLo00YEDus1z+TLRqFFEXbsSLV6svRZ4dDSRoyNRZKTq+JdfEk2ZotsaNJGcTHT7dsZrSOiEPi3cdNE8z+u65Fcjr1KRhUUoPik+deyzzZ/R6iurdZrn5subVGheIYqKjaIPCR/oQ8IHuhZ1jZznOlN0fLRea7v07BLBF2TpZ6nygi9o4tGJes0pFtCgR563DPmbN0SffUbk7k5Upw7/hS1ebLrrBwYSNWyYcfzwYaI2bUy3Doks0ceQq/sss/G8Trft3WjphaVERHT+yXkqsaQEJaYk6jxPrz970YJ/FqS+H7Z3GE07NU3vdSWlJJH3Mm8KfByYOpaYkkgll5SkoIggvecVA02GPO+EVgCOkR85wtkn//7LseNSpUx3fU9PzlxJSlLN6b51iz+TyBYoMk3UyeNqwtlZGTaR0I5pTaehY0BHjKo1Cn6BfpjSZApsLNXXOryOe40F5xdAJpdl+KxxicaYfW42vqz9JV7GvcS+sH24/23G+Lu2WFta4+cmP8Mv0A8nB50EAGy8thFlC5VFoxLZM2kgd4pmyeW8ubh3L6ff9enDcW1B4LHx45VdeVu0AH7/nY28KejcmeV3Fy7kTc9z53jD8+BBzm6RMDsKY5z+T0PTeNrPtT1HEvZiuu/oDjtrOwQ9CcL9b+9rNOQvPr6A11IvjK03Fu727qnjv4X8hi+qfoHQV6GoW6wu7ry+A8+CnvBr4WfQupJlySi/sjzWd12P+p71Uda/LLb22JqpIZeTHGcjzuJT8qcMnxUrWAxV3auqOUs3NIlm5T6PnIhT+m7dAr78kr3f775jhcABA1jAatcuLtCJi+Oc8H79NLdaE5stWzjDpHhxNuTW1lzMIxnxbIXYGTMS6pnWdBpqrqmJ1Z1WazTiAOBRwAOja42GnOSY2HAiAOBB9APMCZqDsfXG4tmHZ2ixsQWIyCBvXEFar7xvpb5aeeMJKQnosLUDqrhXgUt+ZQHBvbf34O3sjeNfHDd4XRpRF28x9suoMfIzZ4jKliWKV26i0Lt3HBfv1Yto7lzV45OTiYoWJbpzx3hrUsfbt7zZmpJi2utKZIm+jZPVfW7qps85kUP3DmkVG3/+4Tm5zHOhF7EviIhoyN4hNP309NTPB+4eSLPOzhJtXYpYudNcJ61j4xOOTKCxf49NfS+Ty6jiyop0+P5hUdYEIzZfzl4cO8ZCVPnzK8ecnLjq8dYtoGJF1eOtrIAyZVgDxZS4uHB83tLStNeVMBrqCo7evcvYSJokPRgVOpTpkKk3rqCoQ1EMrDIQC84vwIPoBzgQdgDj649P/Xxjt42Y3ER9KqI+WFtaY1bLWWjt3Vrr2PgPjX7A5hubERnL3S533d4FBxsHfObzmWjrUkfuC60ULMgSrul59YrL1vft4zi1gpcvucCnenXTrVFMHj9mLfIjRzhUM3gwh4vEEsiSy3mD1t6e5QiyCYYW7BiDrK6bHdec0/ix8Y+osqoKwt6G4Zu638DJ1in1M2PoqPSt3Bd9K/cFAETGRuLO6zsZjhEEAQ2LN4StlS08CnhgaPWhmBc0D0vaLYFfoB8WtV1k9Nzz3GfI+/dnozx8uFLX5ORJ3lS8eJHFpL77juPlz5+zHsnYsabb7BSTt2+Bpk35u/77L7+fMoWN+bZths9//DjvM6SkcA/Q6tWBDRuyRYZNVgU7hhhNY8XHDS0yklB65Ruvb8Tm7ptNem3/i/5YHbIaNYrUSB2TyWUIjAjEheEXUN+zPgD2yiuurIhSzqVM4o0DuTVrZc8ebqRQuTJvdj56xBuKDx9yh55nz/hVqBBXWvbvnzP/mubPB27fZuOqIDGRe4CePq1sL6cP4eFc6h8QwM2jk5OB+fNx03cXqsr+BaD6+zK1V5lVm7fs2AYuO67J3IRHhyPoSZDaz9qXaQ83e7cM4+8+vcPt17dNngr49P1TVF9dHXe/vgtXe64G3x66HcsvLsc/w/5R8bonHp2IxcGL4VHAA3bWdirz5LfKj+ARwaldi3Qh72StACwV+9lnLBxlZcXd5bt2ZVXASpVYgjZfPk5FdHQ092r158YNFv8CWHjrjz9Y2MvdHbhyxTBDvm4dMHSoUkPGxoa9/ak7QGeDOOsnDTnxPihhfo6GH8Xkk5PRtXzX1DE5yRFwMwBHBhxBG5+MGkZOtk4oZFcIt1/fTh0LfhaMqI9RcLZ1VjGc9tb26FmxpyihjeKOxdG3Ul8sPL8Q89rMg0wuw4zAGVjabmmG+X9s/CMuR15GAZsC8G/vnzr+560/cej+Idhb2xu8nrTkTkMOAHZ2nDtO/3XIWbSIPdV//uFu9keOAAsWcPMFY7B9OzBrFj8BVKwITJ7Mm7BiUro0cPkyP7MvXgx8/z3g5sYGeN48oEcP/j3oQ2RkBmMNQUAYyqFKZKTha5fIs8QkxOD6i+uQkSw1Ta+GRw2UciqFqu5VEfg4ELde3UJr79Zqz78adRW1f6+NcoXKpcbFI95HICElAWVdyqKeZz0AwJP3T3Dj5Q10r9AdVoI4pu6nxj+h+urq+L7h9zj56CScbJ3QxjvjzcbN3g0H+h1Aaf/SIBBKu5SGTC7DhusbsLLD4e6OjQAAIABJREFUStFj5rnXkCuIiuLQyu7d3ASic2fW7g4KYq/VGIZ82zalRnmjRnyt4cP5MzGN+ciRQI0aHL++fp2zcyZP5mtaW7Mq45gx+s1dvz4/sQwbpnS3P3xAc5wB6i4Q7SuYEk0Vm+qQNiCNx/bQ7fju6HfwKOCBxzGPYSFYYMLRCSAQHGwcEJsUi6lNpmo0djWL1ESdonXwv0b/Q8+KPQEA++7uw+d/fo7tPbejmgcrk/b/qz8+8/lMJyXFvXf3Ylso7y+lyFMQ/Cw4tZrU29kb9jb2sLOyQ8eAjviY9FGtN67A0dYRY+uOxcyzM7Gh2wZsD90OVztXtCrVSuv1aI26nERjv0yqtfLyJZGtLVHz5kqxLCKin3/mcblc/GtWqkR06pTq2MmTRJUri38tf38iJyciGxsie3ui4cOJYmKItm4l+vxz/ef9+JGoShWiwYOJgoKI9u8nqluXluMbtYebWjskq/xsbXVPTKmFIuWUM7GJseS2wI2O3j9KLvNc6EnME3KZ60IeCz1ozrk5ZD3DmuIS4zKd49C9Q1T518okk8uIiGh+0HxymedC225uIyKi269uk9sCN4pNjNVpbdtubiO3BW607eY2CrgRQJ6LPantprZk6WdJG69tpGMPjlGTP5qQpZ8lNVjbgORZ2I+YTzFUeH5huvv6LpX1L0vHw4/rtJ70IM/kkafHzY3lYr28lCl5SUnApUs8HhYm/jXv3OEuRGlp3JjHxaZ2bW4qERPDr7VrOe4fGWlYexp7e467lygBjBvHoakxYzAOy8Rbezp06TyfVb9OdTndinFzIfUYZQrYFMCE+hOw/vp69CjfA2tC1sDN3g0e9h6YEzQHQ6oPgZ1N5iHB9qXbI79Vfuy+sxtxSXFYdGERZrecjRmBMyCTy/DL2V8wof4EnTcUe1XshUL5C8Elvwv6VemHxW0XI/R1KAZVHYRB1QahsltlhL4KxfRm07HksyVZhkgUXnn7re2N540DhnnkAHoBuAVADqC2tueZXP2wXj2u3mzUiGj0aCIvL6Ju3YhKlmTJV7GpVIno9GnVsVOnjOORy+V8PX9/5dPFvXtExYoRXbgg+uWM6VXqW1FpyPySOqF5SOuVF5xTkIouKkpOc5y08sYVKLzyeUHzqNefvUgul1P9tfVp2qlpennjCrbd3Jbqbb+Oe02Wfpa09upaIiIaf3g8jT88Xqf5FF75ifATeq0nLTCS+mEogB4AVhs4j3Hp359Fqb76ij3V4cO5aCgszLDMDk1MmsTXWLeOPXFFjHzWLPGvpRAC+/xzbh3n7s57AXPncpxbZPKa9yhhHNJ65QXzFURVt6p4++ktGhdvnKk3fvn5ZawJWQMAIBBefHyBSScnoXv57rj4/CJ8m/mi3dZ2mNtqrl7pfQB75TMCZ+D4w+MIehKEpiWbYvWV1ehQugM2Xt+IW1/d0mk+R1tHPP3uKWytbLM+WE9EySMXBOEMgO+JSKvkcKPnkacnKYlTEp884TTEBw84z/rAAaBuXeNcc+tWYPZs1ayV/v2Ncy2AHcuQEA6v1KvHVZ45DGPnWUvqhNmLj0kf4b3MG1YWVohLikOBfAXw4NsHyG+dX+M5gY8D8dmWz7DksyWwsrDCvbf3cP3ldQQ9CcL+fvvRqlQrLL6wGKNrj9bbkAO8ITv/n/mIeB+BiyMuotv2brCztkOj4o2wpN0Svec1FE155CYz5IIgjAIwCgBKlChRK0JdGb0xkcuBU6fYO/bw4OwRJ6eszzMURXWKRJYY25BrqvZUh5S1Yhq23tgKext7BD8LRvnC5TGk+pAsz2m+oTmGVh+KwdUHAwACbgbg18u/4tzQc6Kl9cnkMlRZVQUNPBtgXdd12Hx9M0YeGIkjA46kFgMpKFe4nMl6jOptyAVBOAFAXTPJKUS0779jzsBcHnlKCqcWKrRGBg1SluaLRWQkcOgQp/R16WLYJmIuRCwNEanyUUIbzjw+gxH7R+DuN3chQEClXythRYcVGvPO9eXRu0dwye8CR1tHzD47GzPOzoCPi4/KMXde38HevnvRpVwXUa+tCb0rO4lI3N+OmKSksKrh27esL/LmDeeJT5umf/50elauZFGqjh25cfOECRz77t5dnPlzAZq8XG29XwX6apxIYlR5i+ZezeFZ0BNbb2yFtaU1CtsVNko2SCnnUth9Zzdexb2CpYUlLC0sMajqIDjaOsLZ1hmeBT0xcM9AvRs8i0nOLgjatYv/Us+d41J8gOPQtWpxVyBDc81u3wb8/ICrVzl9EeCfW7VisaqcKLRlJMQQg9LX6EpiVHkP3+a+GLF/BKwsrLCiwwqDQyrRn6LxNv5thvGpp6fCMZ8jqrpXhY+zD7be3Arn/M6Iio2Cl5NXpu3pTIlBhlwQhO4A/AG4AjgkCMI1IjK+1JeCw4e5HN0qzdfw9gYaNOAc6G7dDJt/xw729BVGHABq1mT9kf37+doSEhImR+GVp8hTRPHGP//zc1x/cR2F7JTOWUJKAiJjI1HDowZWdVyFFx9foNKvleBg44BeFXshIDQAg6oNMvjaYmCQISeiPQD2iLQW3bG3V+/GRUezUJahJCerNqhQkD8/Z8JI6IQUApEQk03dN0FOclE2OEfVHAX/S/4qKoa/BP6C+9H3ERIVgiMPjqB9mfZoVaoVjj88Djsbuyy98SRZktpm0daW1qJvjuZsGdvgYKBnT+D8ea5ABIC//mK98YcPVT11fefv2xe4dk2Z4fL0KVCtGisPZgNd7uyAtpuUxtrMlDZJJQxFJpeh8qrKWNZuGdr6tMX7hPco7V8a54edx78v/sWiC4sQPDwYjf9ojH9f/Av3Au4I+yZMoyFPSEmA8zxnyEmu0vAiRZ6C+p71cW7oOb3WmTtlbOvXB374AahalWPWb96wod2713Ajrpi/Z08Wpho8mDc7V6/mm8aQISwh++WXOTJnW2w0OUXpx11cJO9bInuw+spqxCTEpL6v7l4dI/ePxC8tf0FETAQ6lOmAMoXKwMfFB36Bfph8cjJexr3E9GbTUaZQmUy9cVsrW3Qt1xW1itTCD41+SB3vsq2LWrVEQ8nZHrmCN2+4wKdgQaBlS04TFJPgYG5WERzMRUW+voCrK7B+PXv+587pLxebC9A2ZGKs4hspZCOhD+VWlIO3szequlUFwDroKy+vRPGCxRGdEI3zw86jTKEyAFhHvM+uPljfdb1Wue4AcOvVLbTa1ArhY8Nhb2OPkMgQdNneBeFjw/Wu8tTkked+9UOxePGCyNGR/6tALifq2JFo1SrzrSubIumaSGR3Nl3bRM3WN0t9L5PLyHOxJ1nNsKJBewapHCuTy2jJhSWULEvW6Rp9dvah+UHziYioc0BnWh683KA1I8+qH4pFcDDQsCFrmSgQBE5zDAw037okJCT0ol+VfoiMjcSZx2cAAH/d/gseBTzQrVw3TG06VeVYC8EC4+uP13mTcmrTqVh0YRHORpxFSFQIRtYaKdbyVcjZMXJT4urKQlvpS+4fP+bPJLLE2ZlDIOnj5uaUlpXIu1hZWGFq06nwPeOLU4NPwS/QD/PbzEeHMh30nvPhu4dIliWrXKNWkVroFNAJs1rOMppwVu6IkZsCIs5WGTwYGD8esLTkzvXt2wNHj/JnEqlImSQSOYEUeQoqrqyINt5tcDnyMi6OuKh3OuOT909QcmlJlHIqBWtL5T5d5IdI2Fja4PnE5wYb8tyZtWJKBAHYt4/TEZct46rOyEj+WTLiGdCl3F7arJQwFwqvfNDeQTjU/5BBOeklHEugQ5kO6Fy2M8bUZokQxY3it06/GVXGNu8a8vfvgY0bOUfc25v1wosUyfycUqWAixdZmvb9e05LzJfPNOsVmxcvOCxUpkzmUgMfPnAj6adPWfK3Qwd+GskCXQywVGIvYU76VekHGcnQvnR7g+ea3mw6ev7ZE0OrD0U+q3zYdnMbPAp4oIVXCxFWqpm8udn5/DmX2p8/zxuYkZFA9eqso6INFSpwjnlONOJJScCIEfwdxo4FfHyAiRMBWcYKNNy8yY03jh9n4/3LL0CLFkBcnOnXLSFhJKwsrDCk+hBRKkTrFquLKu5VsP7aeqTIU/DL2V/g29xXNHldTeRNj9zXlwt95s1TjtWty70pz+lXcZVjmDoVePmSN24LFuQc/O7dgaVL2aCnZdQoYOZMYNgwfj9tGoeWFi3inyUkJDKg8MqtLKxM4o0DeXWz09OTUwZ90mgLJydzGf6LF7m3UlMuBwoXVlVzBIDLl4EBA4B795RjkZFcMfvypWoo5cIFlgi+fl20ZUkboxKZMfrAaIS+Ds0wbm9tj78H/K02JfD0o9O4EpnRxlhaWGJEzREomK+gUdaqoGNARxwPP44jA4+gZamWos0rbXamxc6OW6KlRREuELsqNDuRnAzExgLFi6uOlyrFBjstFhZs+OVyVUMuk/FnEhImwsrCCq52rvihobLUffed3bj4/CIsBfX7NYfuH8Leu3vRvbyyb8DbT2+x5cYW9K3c1+iGfGaLmShSoIhJvHEAebSy85dfiNq3J0pI4PdyOdG33xL172/edZmCevWIdu5UHVu5kqhz54zHNmlC5O+vfJ+czMfNnq3XpZ2dldWdaV+CoH7c2Vmvy0jkIJJSkuh9wvsMr9jE2NRjnsQ8IZd5LvTq4ysiIkqRpVBZ/7J0PPy4xnkjP0SSyzwXioqNSh2bdGISjT4w2nhfxgRAQ2Vn3gytJCUBX3zB8fBmzTjU4OrK6YW5vVlEYCDvD/TrBzx7xo2oHz/mDc169VSPvXePtdfLlwcqV2b995IlWXfGVvdUKimEIpGeAbsHYOetnSqpeXKSIy45Dg/HPkQp51IAgK8PfQ2HfA6Y23outt7YilVXVmXZo3P8kfGwFCyx6LNFeBP/BuVWlMPVUVdR0qmk0b+XsZC0VtRx8CCRry/RmTPsleck5HKigACiDh2ImjcnWrCA6ONH7c6dPZvI1paoZEmili2JGjQgatSIKD4+47GfPvF15s8nOn3aoN+TJk0VSWsl73Iw7CBV+bUKyeSy1LGAGwHUYG0Dkqf5t6bwyqNio7L0xhWk9cpzgzdOpNkjz5uG/PlzoqZNiYoWJapVi6hQIaJ168y7Jl0ZN46oenWi7duJDh8m6taNqGFDosTEzM+Li+Pve/Omckwu5xvCypVGXbJkyCXSI5fLqfaa2rTr1i4i4rBJ+RXl6eiDoxmO/ergV1RtVTVqtK6RipHPjHGHx9HgPYPJZZ4LPX73WNS1mwPJkKelYUOi6dM55ktEdPs2UbFiREFBZl2W1oSHExUuTBQToxyTy9kz37Il83NPn2YPPD27drGSoxHJLYZcU6xfiunrR1qvXJ03ruBJzBOy+cVGK29cQeSHSLKdaZsrvHEizYY872WthIZybHjqVGU2RoUK3KBizRqgUSPzrk8bgoI4du3oqBwTBKBXL46BDxig+VwHB84dp3TiX2/ecF55HkRXiQCpElVcOpTpAN9AX+y6vQszzs7AsnbL1Ma+izsWx9PvnsLN3k3ruR1tHfFt3W/h7eyN7aHbVT6r7FYZld0qG7z+7EDeM+SvX3P6Xfoycy8vFr/KCbi7c0OL9ISHq8rsqqNmTd6oXL0aGD2arU9UFLBgAbBypXHW+x+66K+YEskwmxdBEODbzBd9/+qLKm5VMu2go4sRB4Co2CgsOL8Anct2hp21svlL0JMg9KjQA8vbL9d73dkKdW66sV9mDa3ExBA5ORE9eqQ63vf/7Z15dBTVtsa/nRjmQSIoCgkBARUBASEKBIMCYbg8ooCo96IoulAjEPUpyLAuuCCI3ACiqFcJKEPAiLwwBQSU6S19CCLIIPPMxZAwI0NC0vv9sdOQoTN0uqorXb1/a9Uyfbq6zq6W3n36O3t4lnnixJJfx+EQnXnbNuasLENNLJYbN5jvvZd5+nTm7JxNog0bRG45dKj41+/dy9y4sWjsPXvK+xEXZ67NZRh3JR9X4yq3eIbD4eCe83vyuiPrDL9232/7cvxP8Tcfn7lyhoM/DObD5w4bPpfZQMMPczFtmhwjR0qWZ2KihCD+/HNeuaIwduwQ+eKvv6TeSmYmMGsW0LGj6abfZP9+4O9/l0SeqlUl0eeLL6SoVUlwOCT88uxZICICuNO9lY6dcDcs0tW4WW3slNJz8NxBRM2NwvWs6zh95TTqVK0DIsKF6xcQVj0Mv79uXHayt9DMztzExoounpAgjuyJJ4BPPimZE792TZzlBx8A/fvLJ3XVKtGnd+4Eatc2334AaNxYUuv37QOuXpV0encaTgcESAy9Yjpaptca6lWvBwYjPioe83bMQ8vaLdG3SV+0mdEGL7V8yWrzDMU/V+SekJQkq+/8erqzomD+wlNKmcfdFbk7jrmwlXpR11eMY+ZvM5G0OwmToyajy9wuaBfSDmuPrMXZYWcRGFB8OeayRmErco+KZhDRv4hoLxHtIKJkIrrdk+v5BGlpUr88Pw0aFKxXovgEzk3Y/Edhm7DnzhVUw53jStnihYdewIFzB3Ap4xIiQiOQvDcZYzuO9UknXhSeVj9aA6ApMzcHsB/ACM9NKuN06AAsXy5yhpOTJ4G5c6UUruJzuHLMzOqY7UBQYBBGdxiN9ze8j56Ne+KuyndhSPgQq80yHI8cOTOvZuasnIebANT13KQyTosWQOfOoqsnJorOXL++OPNBgySMzxc4f17i0Y8fL/o8ZvnScji8Y5ePUtiq3knuseBg6+z0R5yr8rHrx2JK1ymmrcbTr6Tj8PnDBY60K2mmzJcbIzc7BwJIKuxJIhoEYBAAhIaGGjitBSQkyAp8+HAgK0s2PocMkXjsHj2ksFS/flZb6RpmaQoxfboUwzp4UCJ3KlaU5558UjoHVawoRcRGjZJzqlYF3ngjbyKVC/x1Y8/VvTk18PxauMane5egwCCMiRyD+J/j8cyDz5g2T5sZbXDlxhVULXern8FfmX8hgAKQ+k6qafMCKD6OHMAPAHa5OKJznTMKQDJyNk+LOyxP0TeCixeZq1VjPn8+73hyMnNkpCUmlYiEBOaWLZn//FNi4Xv3Zq5dmzkqinntWuboaEn1//FH5rvvZl6zRs47cEDGhw0r8vJ2ScM3Auc9a4x52eD6jeumXj9uYxz/Y9E/8oy9vORlHv3jaMPmgFm1VgAMAPB/ACqV9DW2cORHj0rRrfzs3Ml8333et6ekhIczr8opSPTLL8z16zOfOsVctapUT8zOZm7dmrlNG+ZZs/K+9tQp8T5FVFlUR34LfS/8i4vXL3KtSbV4T/oeZmY+dO4QB38YzGevnjVsjsIcuUfSChF1AzAcQCQzXy3ufFtRt67EbW/aJI2YnXz3nWyIllXS00X6AaRtW48eEvterpwkFVWuLPLK1KlAmzZ5X3v33RJrn5qat02eUiiFSU3BwfaWmkrCgbMHsPXPrQXGCYTujbqb3sXHaKqVr4Y3H30T4zeOx7ze8zDhfycgpnUMgiuavyniqUY+HUB5AGtyitxsYubXPLbKm1y/DqxdK1r344+XrF9naqq0TfvwQ6BPH9GNmzYFli0D5syRTUR3mTsXmDhREnyaNhVt+umn3b9OcXTsCHzzDTBmjDjmlBTgxx+ll6ezTsu+fUBoqLwvTXMVFTp4ULJZ69Qx3i6b4qqOC5Fr5+5vJO1OwrRfpqFT/U43x7IcWVi0ZxE2vbwJj9R9pIhXF8+CnQtw9MLRAuNVylXB4PDBpnS2Hxw+GA0/boiVB1YieW8yDgw5YPgcLnG1TDf7KDPSypo1zLVqiabdpYvIBt9+W/j5hw6JTlyjhryuVSvmL79k7tdPSsMOHSqSi7t8/TVzw4bS4CIjQ+wKDZXSskZz6JBo32++ybxsGXP16iKrTJ/O/MorIgtVqMA8Y4bUbklIYE5Lk/K3zZpJg4kiUDnhFkVp4/74fuQn/Up6gTrhs7fP5sivIg25fpc5XbjdzHb83pr3bh69FvTikCkheRpZGE3cxjguP668odq4E2g98nycP88cHCzO08n27dJ0wZUzzsyUQlXx8fJ3djZzYiLznXcyp6d7ZkujRgVroa9cKV8UZnDihGxaPvEE81NPiU5OJJu3YWHMMTHixP/9b+ltGhzM3Ly5OPViCvrrxl5e9IutaHJ37rmRfYMbftzQsMJZ64+s5wbTGnBmVubNse7zuvPnWz435PqFcfH6Re4+r7uh2rgTdeT5mTWLuU+fguMxMcwffFBwfPFiaUacnxdeYJ46tfR2ZGWJE83vIC9fZq5YsfTXdYeoKKn8uH//LTsWLGCOiPDO/Lmw2xeBOvKiyb0qN3I17uTxrx/nWb/Jpv2mE5s4ZEqI6dErZlKYI/fPolmAbOy5arRcs6Y8l58TJ4AHHyw4/uCDkgxUWgIDgYYNZeOxXbtb4z/9JLVbvMHGjbJJm3t/oE8fqa7ocEiBLS+htcH9i5qVauLVh1/FuI3jsOHYBsz4rxl5nh+yYgh2pu0s8LrK5Soj+ZlklAssV+T1x0SOwcClA9G/eX+8v+F9jOwwEuVvK2/oPZQFvPcJLWt07QosXizVD51cvQrMnw90717w/PBwKZSVmSmPHQ7pKj99OnDhgme7VyNHAi++KGVlb9yQzcdXXwVGeKnigatGFUeOALVqedWJ2xF367j4I2+3fRtJu5NQp2oddAzrmOc5BztQpVwVjO049ubR5p42OHP1DIICgoq9dmRYJOpVr4ehK4diV9ouvNTCXlUPb+JqmW72USakFWbmESNE954yRTb7mjVjHjjQtQ7sTJ6JipI47PBwachwzz2y2VmrFnNKSultmT2b+YEHmAMCxI6kpNJfy10mTpRm1GfOyONz52Tz95//9J4NOeTeDLSLvKIUT+KORN7257YC48cvHOcaE2vw6b9OMzNztiObm37WlFfsX1Hia68/sp4xFqZr494AqpG7wOFg/uEH5kGDxIEvXVr0Zl5Ghmx21q0rkR6jRzPv2sXctavo2YGBzA8/zLxli/fuwQiyspjfeksiWFq1kv/GxNxqTu1FnE67pOOK/YlZHsPvrn6XmZkX7l7I4TPCXTZnLoq5v8/1aW3ciTpyI2nfnnn1anGA99/PPH4887Vr4uDj4yWS5fRpq610nzNnmDdv9jwKxwPUkSv5ca7KUy+nur0atxuFOXIVQEtDQACQnQ2sXi2ZjqNGSWakwwFERwM9e0pikK9xxx2SzVmzpmUmOLVj1ZQVJyHVQ/Bc0+fQY34PVAqqhG4Nu1ltUplDHXlpePppID5eNgidmY9z5sim4b33ytiJE9ba6KM409bzK+T+ns7u77wX8R52pe3CmMgxpmRk+jr+G37oCa+9BqxbB0yaJNEqp04Bv/8OfP+9PJ+SAgwYYK2Nyk38tbSunQipHoIjsUdwT9V7rDalTKIr8tIQFAQsWiShimFhsvr++msJHXz5ZQlpNKNOip9gdMieMzY9/6H1TnwLdeKFY29HvmSJVPdr3Rp45x1p/GAURED79sDWrbL6Hj4c6N9f5JV164AKFYyby8/Q1muK4h72deSTJwPvvgs8/zzwySdS3bBtW+MbJAcFyZfEb78Bf/wh3YJuz9eD+uJFaamm7dJsSXCw618Q2tJN8Rb21MgvXwbi4sS5hoXJWNu2QEaGOPXx471nx+DBkkFaqZLU+p48WSJbFNugZQUUq7HninzXLqlf4nTiTnr3Bn7+2Xt2DBggoYrHjsmG6MyZknq/ZUve8w4fBpKTZcNUURTFTezpyGvXFueZkZF3fN8+aabgDY4dk9opn38uUgsREBkpWvqnn8o5WVnAwIHAI4/IZml0NNC5s9RuUQxD650odseejjw7G6hWTRzk4sWiTW/bJh14Xn/d/Pn37AEmTJBO9PnjyXPHmE+dKtr50aOyMXvoENCoERAba76NBlLWNWLdPFXsjv0ceVKS6OFRURIO2LevZF/26CGOPCLC3PknTZJ2aoGBsrH66KNSIdFJSopE0QCyCo+LE+0ckNdMmCChjdeumWungWh4n6JYi702Ow8elDjut94CYmJEwjh+XFLmhw2T8EAz+eMP2czcvl0knLvuAhYskLkvXZJj4UJg82Y5/9Klgunw1arJcjYjQ1b0SomxKvHHKd24GlcUb2CfFXlCAtCyJVCliujTTZoAX30lTYRjY4EVK8y3ITlZmjE4dfiuXaVr/Y0bwNixwEcfSV0WZ/PiqCixMTcLF4rt+UMYlWKx6peBSjeK1dhjRX70qGwifvaZyBhz5gD794vE0rmzNIzwRoJOQMCtWPGrV4EnnxRHvWQJ8NBDQIcO4ry7dQMaNBDnHhEhHYaiokTHnz1bzlcURSkh9liRL1oE9OsHPPushPmlpACNG0u44ezZwMcfA889Z74dffqIlHL8OLB8OdCihayuk5OBp56SXwzPPw/MnSvnh4RIrPsDDwDLlkly0ebN8gWkKIpSQuyxIs/KkjKyQUHAt9+K02zRQlbq8+cDb78NdOlivh2NGwOjRwOtWokDT02VFnGTJonTBiQ0MnepgDvukF8TPoxqxIpiLfZYkUdHA998I46zbVtJsOndG/jPf4ClS4Fx47xny9ChkvDz2GPy62D9euCVV+S5zEwgMVFkFBtRljRiV6GQznFFsSserciJaByAaAAOAGkAXmTmU0YY5hb33y8bmq1aiXTBLPLF6NFAp05eNwf160sZAIdDqiDGxkqK/hdfSL3yrl29b5MfUKNG4VErGgqp2BliV0UiSvpiomrMfCnn76EAmjDza8W9rnXr1vzrr7+Wet5C2bFD9HIi0aubNTN+DndgBlatEt38+nWgVy/gmWeA2+yhaJVFiAqve+LBP3VFKRMQ0VZmbp1/3COP4nTiOVQGYO1HpXlzOcoKRBKh0k1bUymKYh4eLw2JKA7ACwAuAni8iPMGARgEAKGhoZ5OqyiKouRQrLRCRD8AqO3iqVHMvCTXeSMWZnARAAADf0lEQVQAVGDmMcVNapq0ovg9Kq0odqbU0gozdy7hHPMBpAAo1pErilloKKTij3gatdKImQ/kPOwFYK/nJilK6dG0eMUf8VQjn0hE90HCD48BKDZiRVEURTEWT6NW+hhliKIoilI67JHZqSiK4seoI1cURfFx1JEriqL4OOrIFUVRfByPaq2UelKidEiUi69RE8AZq43wMv52z/52v4D/3bMv3289Zq6Vf9ASR+6rENGvrrKq7Iy/3bO/3S/gf/dsx/tVaUVRFMXHUUeuKIri46gjd48vrTbAAvztnv3tfgH/u2fb3a9q5IqiKD6OrsgVRVF8HHXkiqIoPo46cjchon8R0V4i2kFEyUR0u9U2mQERdSOifUR0kIjes9oesyGiECJaR0R7iGg3EcVabZM3IKJAItpGRMuttsUbENHtRPRdzmd4DxG1tdomI1BH7j5rADRl5uYA9gMYYbE9hkNEgQA+BdAdQBMAzxFRE2utMp0sAP/NzA8AeBTAG35wzwAQC2CP1UZ4kWkAvmfm+wE8BJvcuzpyN2Hm1cyclfNwE4C6VtpjEuEADjLzYWbOBPANgGiLbTIVZv6TmX/L+fsy5ANex1qrzIWI6gL4G4AEq23xBkRUDcBjAGYCADNnMvMFa60yBnXknjEQwEqrjTCBOgBO5Hp8EjZ3arkhojAALQH8Yq0lpvMRgGGQxjD+QAMA6QC+ypGTEoiostVGGYE6chcQ0Q9EtMvFEZ3rnFGQn+OJ1llqGi66XsIv4lSJqAqARQDeZOZLVttjFkTUE0AaM2+12hYvchuAVgA+Z+aWAK4AsMX+j6et3mxJcQ2niWgAgJ4AOrE9A/FPAgjJ9bgugFMW2eI1iCgI4sQTmfl/rLbHZNoD6EVEPQBUAFCNiOYxc3+L7TKTkwBOMrPzl9Z3sIkj1xW5mxBRNwDDAfRi5qtW22MSWwA0IqL6RFQOwLMAllpsk6kQEUG00z3MPMVqe8yGmUcwc11mDoP8/11rcycOZk4FcCKnzzAAdALwh4UmGYauyN1nOoDyANbIZx+bmNlWTaeZOYuIBgNYBSAQwCxm3m2xWWbTHsDzAHYS0facsZHMvMJCmxTjGQIgMWeBchjASxbbYwiaoq8oiuLjqLSiKIri46gjVxRF8XHUkSuKovg46sgVRVF8HHXkiqIoPo46ckVRFB9HHbmiKIqP8/+u7+w96OIT0QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 10 / 20 总距离： 409.13422012855483\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 11 / 20 总距离： 408.6275138149687\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 12 / 20 总距离： 408.4822073750181\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 13 / 20 总距离： 408.4822073750181\n"
     ]
    },
    {
     "data": {
      "image/png": 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JOnTQaeuZTmwsfz5/f+WYXE709ddECxcaZUlt49Laxt4zui699bI6vi+hOx9iP5DzAmd6Efniy9juB7up9vraJJfLs3BnxgUaYuTZV7VSrRrX207J/fusIc+oA05gIHumV69yk4kTJ/hfReladXz6xN/fU3f7KVCAi2CZMrdvs0KmQgXlmCBw8wlFr9IsQhtFSUZhk4yQ9Nzmh0seF4yoOQLzLnFDdTnJ4X3eGzO9ZppFAo/YZF9D/vPPnA25ZQsfPJ48yeVnp03jUEl67NgBfPstUK6ccqxBA44bHzyo/j2VK/Nf/vXryjEiztps29bQT2NcnJz4dySXq46/eWPU4tjq6nErxnVBYazTM/YS2Y/x9cdjz8M9CP4YjL0P9yKPdR60K9Uuq7eVJRicECQIQjEA2wC4ApADWE9Evxk6r8HUrcslX2fP5gzJ4sWB6dPZq86IuDhlw4eU5MvHRbfUYW3NnYE6dgRGjuSen3v2cEu6desM+yzGpnx5LpG7cKEyvv/yJTB/ftoGHiKRXllZyQBLaIPCK59zcQ6uvLyCha0W5khvHBDhsFMQBDcAbkR0SxAEBwB+ALoQ0UNN78k0+aG+XLwIDBoE3LmjVG28fcula2/cYEWKJh484IYRYWGcSt+/f8aHpKZASAh3CYqKAooV43DLtGnc6NpIpHcAmVH98JTvzai6IZFuckcp09N8CI8Lh+dvniiXvxyuf3c92xtyo/XsJKI3AN7893O0IAiPABQBoNGQG4xMxqGSx4/ZuIrZOQdg9UmLFtzW7bvvuBfo2rWcLp+eEQe4ANeyZeLtJbNwd+eOS7dvs/ywdu0sLUaiiI2nNvb6/p3qYoDF6twj3RCMj0seF6xqvwplXcpmeyOeHqLKDwVB8ABwAUAlIvqU6rVhAIYBgLu7e83g4GD9FvnwgaWAlpZce+TSJY55Hz8uruEh4pvFgQMcNunVK/2WbjEx3BQ6n3rdq0RatJEEamMMtfHgxdqXLn8uUqKRhNgYXUcuCII9gPMA5hDRvvSuNSi0MmgQd9r57TflX8T33/NrYnXPSQ0RN1XeuJGtRYsW3OrNzY0PBEeOZHWHIHDbtlWrgCpV9Fvr82dg8WLAx4d/7tiRQxz6lKwNDAT+/JP33Lo19xkV85uLgYil7TalLFFjzCMhocCord4EQbAGsBfA9oyMuEEQAbt3c9q94q9dENjQ7d5ttGXx8898kDl5MhtGCwtuhvzuHX87qFiRY+j//MOJRvXr88/6/LX26sWyx82bWSGTkAA0bQrEx+s2z549vI+YGA6bTJ/OVROTk5XXnD/PCUylS3NG6pUruu/XABT1uA0tLyvJB82Tb/d9izIry6R5VFtbDfFJOv5/z+moE5fr8gAggFUry7V9j94JQXI5kY0NUWSk6vjbt0T29vrNmRFhYZwY9OGD6vjAgfyoVYufT5lC5OFBNHcuUfXqnGAzaZJua/n6ciJTYqJyTC4natuWaPNm7edRJPjcvq0cS0wkatCAE52IiI4e5eJbmzcTPX5M9McfRAULEp05o9uejURWFrISa+305pESkIimnZlGHXw60JMPT748vM95U5PNTbJFUk9cYhy9iX6T5vE+9r3ec0JDQpAY9cgbAugH4L4gCIriB1OI6KgIc6siCOw5Ll/OjRYULFvG3qYxuHMHqFUrbWijY0dOva9TB/D3Z734gwd8Xe7cfBDr4wP07QtUrardWrdu8cFtyloqgsBe/61bXJNcGy5fZklhtWrKMWtrYPhw/qbQrx9/q/njD/bIAa7hkjcv/16bN9duHSOSld1zMmNtMQ5TzZ1x9ceh9MrSsLawhqeTJ5Llyfjz3p9Y32F9tji4HHxoMA4+Poi8uZQlLmQkw4e4D3j+43N45PMQbS0xVCuXwF555rB4Mdcv8fPjw8eLFzkWrK5hhBgULcr1ymUy1azNhw+BMmU4e7RECU42cnHhv9ATJzhEYm/PnX60NeQeHsD69WnH795lNYy25MqlXu8eE8M3GbmcbwztUiVPfPUVMGCA9usYkaxu2CwGmm4IEoyzrTNG1hqJuRfn4o9Of8Dnvg8KOxSGl4dXVm9NFAZWHYh7b+/h3oh7sLRg27H1zlZsubtFVCMOmGNmp7s7p9p3787p8r16saErXNg461WsyDHkCRPYOBIB//7LMfPp09nA+vgAz59zi7bRo7lEbs+enLafJ4/2a7VoASQm8rxxcRzP3ryZKzn276/9PA0asDU6kKIDeXg4f5Pp04dj/EWK8DeJlNy/z7/fHIy6bFNB0C/BVVPsXkLJuPrjsO/xPgRGBGL2hdmY2TT7pNi3LtkaeXPlxd8P/wbAvUFnX5iNGU1niL+YuniLsR+Z2lgiJZGRRA8fcgxZFz58IOrWjcjRkahwYaJSpYgOH+bX4uM5Fm5hwUWzxowhev+e6N49blzx8qVua71+TdSpE8f88+bluPatW7rNQUR04wbHwFu2JOrXj2PmU6ZwzJ2IaPFiojp1iJ4/5+cBAUTVqhGtXq37WulgbgWpMiM2n9MbWQRFBJH1LGsSZgokzBQIM/HlMXD/wKzenqgcDzhOFVZXoGRZMm25vYW8tngZNB80xMhzhiH//Jlo1Cg2xGXKsIFdsEBp1LTlwweiZ8+IZLK0r/39N1unDh3YEDs5Ee3cqX6ODRuIVq4kCgrSvFZUVNoDVl2Ji+N9/fEH7zslMhmRtzcb+CJFuGPS/Pm6/04ywNyMlmTIjY9cLqdqa6vRvof7SCaX0fvY9+Q034lK/laS9j/an9XbExW5XE71NtSjv+7+RSV/K0lnn581aL6cbcgnTiRq1449ZSI2oJUrE23ZIu46Hz+y8d6xI62yhojon3/YwH/zDdF337Hx/PVXcfegK/HxRMHBRAkJRpne3IxWZuzX3L6lGIP9j/ZT9bXVv6hTdj/YTdXWVssWapXUHA84Tra/2hrsjRPlZEP++TPLB1OHOE6dIsrMfURF8TeBlL02w8KIihUjunZN/PXkcqKkJPHnVYMmw6RPffCsxtxuPOaKwis/+PggyeVyqr62erbzxhXI5XL6Zs83dDnkssFzaTLk5nfYqSuxsaw4KVJEdbxsWe4UZChEwNmzfBg6dSofGKrj+HFO0KlTRzlWqBC3o9u1y/B9KEhOBmbMAAoWZPVKvXq8Px3Q9cBPXc3wlKQclyobSgCAIAiY0XQGZp6biUNPDoFA6Fy2c1ZvyygIgoBdPXahQbF0SnwYSPY35PnysaIltTzx4EE2coZA/5UHGD6crRwR0KoV8Pvvaa9NTgZsbNKO29ioZlsayvjxnKF55QorYCZNYgXNrVtaT6FNMwdTRAzFiVjZphIZ07lsZxAIgw8NxoymM7KNWiVLUOemG/uR6THyfftYUfLHH0Q3bxLNm0dUoADRnTuGzXvmDB+eRkcrx54/51BOWJjqtR8+8Pjjx8qxqCii0qWJ/v3XsH0oCA/nA93Uh6RLlxJ9+63W0+gaXlA3njKUklnxYCksYn4ceXok22RyZgYwYman6dO1KyfrLF8OrF7NGY/nzqm2NtOHQ4e4iFfKTvMeHlyg6tgx1UxMxfoNG3K2Z968wF9/cWall5dh+1AQEsI68NRZqPXqATt3irOGjqROrpEKRkmkpH3p9mhXql2meuOLLi/Cnod70oxbWljiz65/opRzqQzn2H5vO268vpFm3NrSGtObTlfJ5swMcoYhB7jJQxP9OmtrJFcuTtxJTVwcZ1CmZsAArnW+cycXwdqxgzsZifWf2NOTO/uEhQGursrxbduA9+85UahWLWDcOL5WQsIESGnEPyZ8ZBVGKhxyOcDKQhxzVcCuAKITo7G1y9YvYw/ePcDk05PhZu+m1Rx+b/xwPvg8BlUb9GUsKDIIG29vxPSm00XZpy6IWo9cW0y+Q5C23LnDae7XryszIq9eZS/7xQsut5vZ/PwzVzVcsQIoVQqYMoXL+06ZwjVbjh3jujAXL3LGqhoyKr+qqWysNhizqYJUNta8uRh8EU22NEG+3Ko1/WMSYzCh/gTMbznfoPmnnpmKBZcXAOCaJxaCBQQIEAQBdQrXQVOPphhaYyhyWeVCYYf0M8XfRL9Bxd8rwn+kP9wc2PgPODAAJZ1KGtWQaypjmzNi5IYglxMdOsQx5l69WCeenKx8fflyjn337k3UsSNLDI8d035+mYzj9pcusVTSUGQyjomXKkWUJw+RrS3R2rWq1/z6K1H//hqnyCiubaqxaLH3Jem9M5fE5ETyXO5J51+c/zIWmxhLrotd6W7YXYPnvxR8idyXuVNsYixt8NtAjvMcyW6OHVl6W5IwUyD3Ze7kttiNLLwtKCohKsP5xh4bS2OPjSUioqcfnpLLAheKjFeTPyIiyLE6ckP58UeiChXYGG7axGVre/dWzYB8/Zpo40ai7dv5AFNb7twhKluWHzVqcEr9oUPi7f31az7UTX2Q9OQJkaen3tOaqiEX0/CmN5cYn1O6Sahn462N1Hxr8y/Pl1xZQt13dRdt/lbbWtEffn9QkiyJCi0qRPZz7anG2hq06PIiIiKae2Eu9dnbR6u5Qj+FkvMCZ3oT/Yb67+9P3ue8RdunJiRDrgsBAVyfxM2NyMqKPVyFMYyPJypXjujsWcPWSEggKlqU6K+/lHNfucLZnqnT6fUlJobrtbxPVf/46FGi+vX1njarDXlmGEHFnNqO6zO/LuM5hZReuZjeuIJLwZfIY7kHfU7+TFPPTCXMBOWbl49iPsfQp4RPVGBhAXr0/pHW8409Npa67OySKd44kWZDnv115Lry6hUfipYpAwwZwjHwHTs49gzwIWbPntzP0xCOHeMYdt++ysPO+vX5+bZths2twM6O9zpqFMfN9+wBLlwA/vc/bk+nBeq02YrxrMJcde4SGWNtaY1pTabB+7w31t5ci4bFGqJKIT3bJqqhoXtDlHYujW13t8HvjR8cbBzgmNsReazzYNWNVWhVshXK5S+n9Xz/a/g/HA88jjF1x6SJ7WcmkiFPzcqVXBp32jSuM/7+PVCzJvcIvXePrwkLM7zJcni4+pKxxYrxa2Lxyy8stWzeHBg6lKWO1tZs4LVAU9amZDQljEW/Kv3wPPI5Zp6baZSDwxlNZ2Dy6cnwf+ePRyMfwdbKFvse7cOya8vwS5NfdJrLzcENJ789iQn1J4i+T12QDHlq/PxY3ZGYyDJBX1/+OV8+oHFj1oLv2cN1vQ2haVPg6FGuqa5AJuN0fbF05QB73z17sizxzBluFu3kxDem1Dx5wlmpPj7qG1P8hyLLUcp+lDAG1pbWmN9yPnpX6i2qN66goXtDNC7eGLOazUIRxyKY4TUDfff11dkbV9C4eGPY2diJvk9dkOSHqRk6lEMeTk5syH/5hcMd79+zhx4YCPz9tzit5caPB06f5jot9vYsE7SwAI4cAaxE0MzGxrKe/PVrTkBScOUKlxVQ1IUhAiZOBLZvZ+lkWBjfwA4cgNCgPtT9F8lKSV9myAwVNyZ13zzEkFBKUsmsISgiCN/u/xbJsuQv+nUCISgiCEOqD8Gi1ouyeIfpo0l+mHMSgrRl9Giul+LhwXVKKlViDzk0lMMtEydysSsxWLIE2L+fDWhCAtCjB2eDimHEAZ7TwoJj5SlxcQGio5XPDx/mol6PHytDRocPAz17whLPkBP/m4htxNVp77OqJ2lOxtXeFUERQZjXYh4qF6r8ZXzggYGoWLBiFu7MMKTQSmqqVgX+/JON2sCBQMmS7C0fOcKt2BIS1Be/AriPZ7du7P0WLw7MmgUkJWleSxD4+r17ef7hwzlbVBPx8cDChXwo2rAhh0cSE9VfS8T7KFOGv0GkZONG1X6dO3cCP/6oGvfv0AHInx8NcEXzftSgb+EqXd6XGYWtNLVp09cT13RAC4gzv4R22NnY8QFl0HHUKVIHdYrUQUJyAhJlifi2yrdZvT29yXmulja0acMd5mfP5riywgPftYv/2mrUSPueV6/4QPGnn/i9oaHsvY8YwYbTUORyoFMnVs3MmcMVExct4oPMffuU7l1SEjBzJodpoqK4XO/w4cC1a1xj5sQJ/vnSJeXcSUnqSwrY2sLZPkknz1FhsFKTURUCXd4nGTsJQ/i+1vdYfGUxuu/qjpBPIXjy4UXpM3cAACAASURBVAlc8rig/sb6AIA81nlw8tuTyGWVjlNlYkiGXBPffMPGrmpV9k5fvuSY8pEjHK5Ize+/s9pl3Dh+7uLCnnbx4lwf3NCmxidOsJrF1xew5I7c8PLi0M+VK+yhA8CYMVwewNeX196/nw15XBzH42vV4r2m9L47d+ZiYr16Kb9t+PoCAQE48L4hoMbGS0iYK3Y2dpjYYCLW+a1DQbuCyJsrL3y6+8BKsML+x/txPvg8bCw1fOs2USRDrglBYCniyJHs9bZpwwbd1lb99Q8eAIMHq47Z27P3/uiR4Yb8yhWgY0elEQfY6HbooDTk799zmOT5c6Wh7tGDDbu/P4eMUpKUxDelnj3Z4Nesycb8zRueZ+NG9Z66hISZ832t77Hg0gI8i3yGJa2XoH7R+pDJZeh/oD9WtF1hdrXRpRi5Jog4iWb3bn7esqVmIw5wLPraNdWxhATg7l1WwRhK4cLA06dpx5884dcAIDiYqxqm1rjXrav63sePgfbt+RDUwYETn9as4cPXjx95Pj8/9tQlJLIhdjZ2+KnRT3CwccCzyGcAgN3+u5HLMhfabW8Hy1mWaR6TTk7K4l2ng7p0T10fADYBeAfggTbXm3yKfmIiUbdunIr/889cW6VAAS5spYmgIL5myxYufhUSQtSjBzdaFoOICKJChYh8fLgwVnIy0YYNREWKEMXGKq/Jl4/o3TvV986aRTR8OP8cHk5UuDDRsmVEcXHchGL0aKJ69dLWZNEDfVPPs3vKulRbxfSQyWXk/86fnOY70cuol1RuVTk6+vQoeS73pHPPz1GyLJmSZcmUkJRAJX4rQWefn83qLRu31gqAJgBqZBtDvn49UZMmqtUIDx0iKlmSjagmbtwg8vIisrTkTj3jxrGxFAtfX6LKldl4u7py8+j791WvmTSJqGFDvjY8nIt95c9P9Oi/+hHLlhH17av6HrmcqFIlonPn0iwpCOoNkCCo36IuBkubps2SoZMwNmOPjaWKqytSg40NSC6X08ZbG6nltpZfXt98ezN5bfHKwh0qMaoh5/nhkW0MeZs23B4uJXI5Vym8dSvj9ycmiuLdqkUu56Jez56pX0MmI1qyhMvYOjgQtW9P5OenfH3kSKIVK9K+b/BgvoGlwpiesrZzazL4mm4ykvGX0JYkWRKFfAwh219t6VjAMUqSJVFcYhx5Lveki8EXKUmWRCV/K2kS3jiRZkOeaYedgiAMAzAMANwNPfgzNoLAcr/UyOXadfOxthZ/TwoEIf2Yu4UFZ4yOH6/+9cqVueDXDz8ox2QyPg8YNszg7WlqOmFINmR60kRN47pijH1LGEaiLBEyuSzNuJWFFawtDf8be/DuAaqsqcIHmwR08OkAgJtONPNoBu/z3uhbuS+KORaDl4eXwesZE9FS9AVB8ABwmIgqZXStSafoA6zW2LyZNeSKBJ19+4DJk/mgUJ38MCuRybiqYXg4q1fc0mlXFR3NenJFVcToaNadR0ZydmcqK5jSWGpj7HRJPdf2Wl3T2fVJc5dS5k2P/Avz49PnT7C0UCq1kuXJKO1cGg9HPTR4fplchsprKmNZm2VoU6rNl7EKv1fAynYrMeLwCER9jsLeb/aajCGXUvR1YcAA4NQpoGJFoEsXlu9dvMjNlk3NiD99yrJEOzuWOA4dCowdy9p1dTg4sNGfNg2oUoWVOH368M0rA1c2pWec0sCZmVIrU5A8fMPpWbEnHHI5qLR4G3RwEIo7FhdlfksLS0xvOh0zz89E65KtIQgCdj7YiUJ2hdCqRCvMbjYbO/13mowRTxd18RZ9HjCXGPnbt0TXr/NBYHrI5dzoYe5cVofo0vkns5DLiapWJfr9d+XY27dEZcoQHT4syhIp49W6/qxpHl2vTdmZR5t4uD7xe7HPArK7CiczCPkYQs4LnOldDKuwAsIDRG/gkCxLpvKrytPxgOOULEumMivL0JlnZ768LjfWWZeewJiNJQRB2AHgKoCygiC8EgRhiBjzikpiImc4li3LST4lSnAKvbpYOMBuZv363FBiyBDV6oGAaXzfvncPiInhMgAKChbk0rVbt2p+nw6kbiiR+rkh6FIzRaqLnvMo5lgMvSr2wpKrSwAAcy7Oweg6o0Vt4JDSK9/xYAcK2RVCM49mX143l8QgUQw5EfUmIjcisiaiokQkQnERkZk5k9PsX7wAbt7kcrTXrwPLluk2z+7dfGBoack3hc2bjbFb7YiOVlrDlKSubmgAcrn6Ak+a7n+6oG1hKk31z9XdXKS66NmLyY0m449bf+Daq2v458k/GFtvrOhrfF3ha0QlROGHYz9gptdMszHeKqhz0439yPTQilzO3e1T98L09WWZnrbs3Uvk7k50+jQn5Fy6xGGMDRvE3a+2xMdzEtLt28oxuZyoQwf1EkMD0SZcIIaOXJdwiVihCrETdqTQiniMPDyS8s7LSzPOzjDaGvsf7aeOPh1NLpSSGmgIreSMxhJJSXyo9/mzaq2SiAiuO/7pk3bz1K7NpWlTloC9fp0PCwMDs+bUT1GCdsQIbhO3cyeXuz11CsiTR9SlxD7AM4bCxVQwt/2aMi+jXqLzzs74d8C/WdoX0xTQpFrJGYYc4Hj3+PHA118rx9atA/75h5soaIO9PZenTRkvJ2LdeFyc5jrlxubBA2DTJpYfenkBvXubRbGr7GrINd3wAEm1Yo6cfnYaN17fSDNuKVhiRK0RcMztmGl7keSH8+dzJcBnz4B69bii4erVXB5WWypU4NK27dsrx65dY68+q4w4wKVsly7NuvUzAXVHAYpxUyO9BCbJiJsfJ4NOYv/j/fi6gtIJ/BD3AVvubEG/qv0y1ZBrwsRE0UakaVNO8Hn6lDXUYWGsDa9eXfs5pkxh5cuJExymOX8e6N8fmDrVePuWACB+xx4JCW0ZX388wuPC8UOdHzC3xVzMbTEXzrbOGFJ9CAo7FM7q7QHISaEVbThzBpg3j0MVZctyJmfKeDjAGZ6//spNJhTXfGu+LaKyEkPDJaaadGNOYaDsxrPIZ/j0Oe2Zl1NuJxTPp38i0fgT4yEnOZa3XY73se9RdlVZ3BlxB+6OmVtuJOfGyIk49fyvvziO/dVX7EWnDoWcOME9OpctA5o0Aa5e5UPEFSu4r6aE6BhqiE3VYJrqvnICLgtd4GDjoHIoGh4fDlsrWzz9QU09fy0JiwlDhdUV4D/SH79d/w1RCVFY02GNGFvWiZwVIycCQkK4G/26ddxrc/x4wNERWL8e2LOHW7al7Fbv7c0t0Lp25efdu/Oh5vjxkiE3ElJYREJsRtcejZefXmJT501fxjrv7IwWni0MmtfV3hUDqw3EpFOTcDTgKO6MuGPoVsVFnSbR2A+j6shv3iSqXp2bMDg5EVlZEV27pnw9OZmbKOzZo/o+W1ui6GjVMZmMa6UmJxtvvxJ6Y6pabamJRNYRERdBLgtcKDA8kIiI/EL9qPCSwhSXaHhfgDfRbyj3r7lpxD8jDJ5LX2DMFH2TISKCFSUTJ7JMcOlSLgzVqxcfTgKsI+/ThxsRp6RECeDWLdWxO3dYm51Sey4hkQHSwWzW4WTrhFG1R2HOxTkAAO/z3vip4U+wtU6nTaOWuNq7Ys/Xe+DdzNvgucQmexny7duBVq3YUFtYAAUKcFXAEiVYL64gNJTDLCdOAH//DXz4AEyYwIqUu3f5mkePuMbKxIlZ81kkzAZnZ/XlA5yds3pnOZOx9cbi0JND2OO/BzdDb2JojaGizd2hTAcUtCso2nxikb0M+evXrPVW0KoV11axsuI6KwB72WvXAtu2cVx861Zu1BAdDYwZw4eh+fIBzZsD/foBo0dnyUcxJ7LKkOlSdMuYqCvoRSQV9MoqFF557729RfPGTZ3sddhZty6wYAFLAi0sWJmybx/QoAEQEMCHnE+ecKhk1So+0AS4+3zDhnxtcDAQFcUeu64hleRkljC+fctrptfJJ6u4epW/hRBxglSDBgZPmV4CjDGRQhUSmhhbbyyehD8R1Rs3ZbKX/DA5mVPU3dy4uUJiImd02toCP/3ENUhiY4G5c9mgpWTePPboV63Sb+3AQI7POzkBJUtyDL5nT5YvZkUNlk+fgIMHucxtmzYcXvrlF/4mMvS//9wbNgB9+wJz5hi0VE6X2+X0zy+ReeQM+aGVFWvGly3jMImVFRvT0aOVuvF9+9R/53dxYW9dX779lvtgKnphfvrE4ZmZM1nqGBDAtcJnzNCcQBQXx0WvHj7kZKPevbm+i678+y9/7oYN+bNOn87e94EDnMiUPz9f9/33nN7fqxeX5pWQkDBP1ElZjP3I0g5BHz4Q5cunWtI2KYkliTt36jfn06dERYqklSmOGsXhUhsb/jdXLpYzTpyYdo5Xr7ik7ldfES1YQNSlC5GHB9Hz57rtJT6eqGBBon//VY69e8dlfLt3T3v92LHcBckAskoG6OCgXuaneDg4GHd9BaYqg5TIfiBHyA+1wcWFQwmNGvG/69YBjRvzuCJmritxcew5p4ypR0fzoSrAIR6AJZBEwJIlaU/CJk8GvvmGKzH+73/A/v2smpk0Sbe9nDkDlC8PNFN2OUGBAvwZHzxIe31MjFlUSlRHRr0zROqtkSGmcugqkXPJeYYc4FZvBw/yoeS1a8C4cRx2sNIz0lSpEpCQAJw9qxzbuZO722ti/XrV5wcPckmAlIwZww2fdQm0JiWpN8x16gDPn3NoRcGDB8DevaqlffUgpxsySTcukdVkrxi5LtSqxQ8xsLRkz/7rr1myWKoUq2c0QQS8f686Zm3NN4OUfP6s+82leXNg8GDA3x+oWJHH4uO5TMGYMVxHxsuLLe3Zs8CaNUDRorqtkYqcYLBMtUCXhASQUz1yY9CmDeDry/VZ7t0DWrcGcuVSf621NYc/UtKrFzB7tmpzzFmzeFyd6sXfn8vopo4f5M3LypumTVm5M3s2l+qtVo1vLs+e8cFnt278c69ehn92ETGWJt3QeSWtuIQpk73kh2Jy8yawfDmrTapU4eJZqY1vekRHA0WKqA/UOjhwdmlKRcrHj5yMFB3N8eyrV9nTP36c4/cJCRz/fv0a2LgRePOGPenHj9lYjxqlukZQEODjw/O1b8+GXQQZpNieqbbzaeoalBGK9xgqEdT1/ZIHL2EMNMkPc55qRRtOnmTlx/LlRFeuEM2Zw02O/fx0m+fiRZZO2NmxA2dnx88vXlR/vUzGjZ1XrOA9yGTKeVxdiZo04cpLuXMTrVvHrwUGEhUvTnTmjN4fVxfEVmikfp/iuabx1GMZPcTat67vl5QsEsYAObr5sq7UrMl6706dlGNr17IePGXNFm2IieH4dGAgx8579tRNGx4XB3h6ciKPuzuHbE6fZg/79Gk+aF27lsMsO3botjc9EDv5JfX7FM/VjetDVnnkUpKQhDHQ5JGLEiMXBKGtIAhPBEEIFARhshhzqoWIQwn37wNyuXHWiI9nNUeHDqrj3btzv05dsbdnGeG8efzv+/eskqlZkxtCT5/Obec0cewYULUqx+AjIoDChTlZaMgQLhIGcIXG8HDd92ZmpPa3HRzSvz6j1yUksgsGG3JBECwBrAbQDkAFAL0FQaiQ/rv0wN+fD+1at+aDujJl2AsVm1y5uGJicLDqeGAg4Opq2NyHDwM1arDCxcGBqy5u3syf66mG7iWxscoTuWrVeB+rVrHi5ORJrtLo46OqG88hfPqvo5emwMqntB2/9CanSywlTBx18RZdHgDqAziR4vnPAH5O7z06x8jj44mKFSPauJHjxnI50ZEjRPnzE715o1+wKT1+/pmobVuiiAh+HhpKVLs2x6715fNnjnNXr060aROPJScTtWrFWZzffKP+fa9fcybq69dEiYlElSoRWVsTOToSNWjA2aJFihBFRuq/Nx0wdoxcU1MGQ9fN7GYPUoxcwhjAiJmdRQC8TPH81X9j4nH4MIcTBg/mqoaCwEqMLl24F6fYeHtzkakSJTisUaEChzYMKWnr5wcUKsRhob59eczSEhgxgpUlJ06of1/hwsCUKVzZsW9fjpkXL86ldh0cuF5KbCxLGuVyowdgNXmmgH4SwdTzKZQeTk6qJtdQMjtpR/LgJTITMRKC1B1DpfnTEwRhGIBhAODurmPn6bAwriiYmpIl048v64u1NbB6Neu4Q0J4nbx59Z/P15cPTx89Yutx5gzQrh2/FhPD/+bLp/n9kyZxSYH+/VlyOG4cH8Ra/HcfvnyZQ06+vpxA9M03wOLFyuJYIhIRkf5Bnj7zZUey6+cyJ/xC/eBz30fj630q90HNwjUzcUfGQwxD/gpAsRTPiwIITX0REa0HsB5g1YpOKzRuzMks8fFckhbg9Pd9+4CpU/Xctha4uPDDEHbvBgYNYq/e3p5dsq5d+VtG7drAwoVcmXHQoPTnqV+fqxnWrs3fRBTExHCzjIEDWXP++TPrytu2BW7cUBp7M0fh4aoj9bik1ZYAgOCoYCy/vhxySiuMsBQs0dC9YbYx5GL8lfsCKC0IgqcgCDYAegE4JMK8SqpWBVq2BFq04GJSx46xR+rgwEk0psr161yytmlTDsvUrcsdiywt2YMuWJATdypWBH7+OeP5+vblEr3v3inHJkzgbxBr1vDvI39+TmQiStuX1IxRFxoBpGxLCc10KdcF7o7qv/27O7qjS7kual8zRwz2yIkoWRCE0QBOALAEsImI/A3eWWo2bAC2bAF+/50LQ3XuzPFhfQtdZQZjxnCzi/37WQ0zYAAb3vv3ObyyYgW3oytRQrv5WrXiWi7lyvGNICyMY+9DhqhWXhQEoF49rq/eurVxPpuEhIljIVhgUatFGHRwEGISY76M29vYY1GrRbAQsse3VUBK0TceERGAhwe3jDt8mL9VACwzbNqUDfuLF/rN/fIlyw/z5WNjfugQr6FALufko7p1uWFEnz68F5EwlWQXU9mHhOkiJzlKriiJFx9ffBnzzOeJwDGBZmnIjZoQJKGGXLnYmgwdymVzQ/87Nnj8mHuCGqKAKVaMDz47deLQzdOnHJoJC+NCWKVL88/lynFNllq1uE+nSJirIkPqdp/zUHjl9jacTZ0dvXFAMuTGw86Os0Pfv2cPvGJFlhJ26cKHm+HhbGQNJU8e4Nw5nqtcOU4uio7m2uMzZgArVwKnTrHMMTbW8PWQeVI+sQ1vZlYwlG4apkO38t2QPw8ruArkKYCu5btm8Y7ERzLk+kDESpHjxzk7UxOrVgF37wJ79nBD6LdvOdRRvDiwaBFXR+zeXfXwUh8KF+bzg8BA9tZtbflg1MeH91q9OldwNEYmrBHJyPCa8jcDqeyt6aDwygFkS28ckAy57rx5w5rubt24ZVvp0qw3VxeUdXFh47lmDaf8HzjARnvUKE7s6dqVbwRffWV4UPfjR5YnJidzvfFRo1iyOW0av56QwOqWbITUmUdCW7qV74ZNnTZlS28cyImG/MoVjis3b84adF0Tivr357omgYEcsnj0iNu67dun/nrFyVudOqwiadsWGDaMwyt9+3Ki0efPhnvLGzZwIa4VK7hCY9OmrIz5/Xf+RvDiBY9JSORALAQLDKo+KFt640BOM+Q7d7K3WrcuHw5+/Mg/v36t3ftDQjhUMn26MtHG1ZWfb9yo+X2FCrEhDQpiY6sgKIhDLjVr8iGlIVy9yvH3Vq3420K5cvwZra2B777jErc2NoatIaGR1DFxQIqJS2QeOceQJyezhvvgQeCHH9jgrV7Nhn3RIu3m+PiR/zJTG0Q3t/SDn5Ur8zUvX3LFQoBj7MuWcUbn2bNc2dAQ3NzY4xcEYP58TtuvUoVfO3pU8sZh3Jh66pg4IMXEJTIPE86mEZnAQO4uX7u26nivXhzq0Iby5VkR4uurOs+2bXxj0IQgsPyvVy82sHnzcrkBJyfWeJcqxeVtDWHYMM5+bdaMY/jFinE8v3RpoEEDw+bOIjSl5etreHWJnRvaqi3l3lN+BlM4iDUFNtzagIDwgDTjeazzYGqTqbCyyDmmSQxyzm/L2Zn/AmNjWRqo4MULoEAB7eawtub0944dubFxqVLA3r3sXWfUdKJwYeDCBdaU//UXG/NcubgI1qNHHN4pYkDRyCpVgD/+4Li7lZUybLR3ryi9OrOCrDy0VHjYqdH2V6nYe+rrIyOV3wJy8qHsiaATCIsJQ4fSygYu997dw8Xgi5jaRPv6SSuvr8SUf6eofW13j91oV7qdXvtLlierHbcULCGY4N9Tzsrs7NGDjfby5WxEQ0I4hX3uXI4ra8vt28D69UoFy9ChnMGZEZ8+sfTw3j32mBWMG8c3iYULdf9MqZHJuGF03rx885DQC31auDk5ae/F5/Ts07thd9FuezsEjQmCrTUXwmu3vR06l+2MEbVGaD3Pg3cP4LXFC/e/v/8l6edZ5DM029oMgWMC4Wyr+yGF72tf1NlQB5aCpcq4jGSYUH8CFrderPOcYiE1Xybi5gsdOnAj5Tp1uGHDggWZt/7Vq0S1aqUdP3OGqGnTzNuHRIbo01Q5vQbR2s6Tk+i2qxstu7qMiIiuvrxKxZYWo4SkBJ3n+WbPN7Tw0sIvz4ccHEK//PuL3vtKTE6kEr+VoHPPz30Z+5z8mTyWe9Cl4Et6zysG0NBYIueEVgCuTfLPP6wW8fNjtYi6OufGokgRzrhMWY4X4DZ2RYtm3j4k0kWhNFFXHlcTCm/cBL91myzTm0xHu+3tMLzmcHif98aUxlOQyyqX2mvfx77HoiuLIJPL0rzWsFhDzL04FyNrj8Tb2Lc48PgAnv6goXWiFlhbWmNa42nwPu+Nfz3+BQBsu7sNpZ1Lo6F7Q73nNSbZM7Qil3MhqX37+C/r66856UYQgCNHuCphUhIfXDZuzBrsggWNt5+UdO/OYZjlyzn8cfUqj+3dyzXHJbIchTFO/aehaTzl69q+J6eHVhR0390dua1y42LwRQT8EKDRkIfFhMHzN0+Mrj0arvbK3rnr/Nahb+W+ePjhIWq51cKT8Cco7FAYs5rNMmhfSbIklFtdDps6bUL9YvVRdlVZ/NX1r3QNuZzkuBB8AfFJ8WleK5K3CKoUqmLQngDNoZXs55ETAcOHc1OFkSPZqP/0E6fTjxjBcr9duwAvL852nD6dY+cXLmTO/rZs4X25u3P9cEtL4LffJCNuYoitmJFQz/Qm01FtXTWs+WqNRiMOAK72rhheczjkJMeEBhMAAEERQZh3aR7G1B2D19Gv4bXFCwAM8sYVpPTK+1Tuo5U3npCcgPbb26Nyocoqsfmn4U9RwqkETvU7ZfC+NKIu3mLsh1Fj5NeuEXl6EsXEKMc+feIGxb17E82cqXp9cjJR8eJEd+8ab0/qiIggCgri9SVMCn0bJ6t7PbObPpsjR54eoc/JnzO8LvRTKDkvcKY30dxwfdCBQTT93+lfXu+3rx/9ev5X0faliJXnm59P69j4+OPjaczRMV+ey+QyqrC6Ah0LOCbKnmDE5sumxYkT3LMypcTQwYG97vv3ueVaSiwtubHzq1eZu08nJ24oYWmZ8bUSZoG6hKPIyLSNpKV6MKq0L90eNpYZZx27ObihX5V+WHR5EYIignDoySGMrTf2y+tbumzRSbqYEdaW1pjTfA5almipdWx8UsNJ+PPenwiN5rLVfz/8Gw42DmhTso1o+1JH9gutODqqb9jw7h0nxxw6xDFzBeHhHIYxNCEnqwgJ4fDQ0aN88+rXD5gyhZOfsjGGJuwYg4zWNcU9mxs/NfwJldZUQkBEAEbVHgUnW2Wsyxh1VHpV6oVelXoBAEKjQ/Ho/aM01wiCgAbFGiC3VW642rtiULVBWHBpAZa1XQbv895Y0nqJ0bXn2c+Q9+zJ1QivXeN2ZwDHv0+cYIPdti03dRgwgAtmzZzJWZGurulOa5J8/Ag0acLG28+Pn//yCycF7d1r8PSmbHgyStgxZO/Gio8bmmQkofTKN9/ZjK1dtmbq2qturMLam2tR3a36lzGZXIbzwedxZfAV1C/G51yTGk5ChdUV4OnkmSneOJBdVStHjnBX+fLlOUEmMJCrAL56BTx8yP++fMl/mUOGsCE0x7+m5cv55uTjoxxLTOSQzbFjXOPFANQpK0zFuGeUsGOKbeBMcU9ZzbPIZ7gYfFHta+1Kt0NBu7Rqso8JH+H/zj/TpYCvPr1C1bVV8XjUYxSw42zwnQ924rfrv+HK4CsqXveEExOw9NpSuNq7Io91HpV5bK1sce27a18SmHQh56hWAJYahoSwJ65IuevUiWuRVKnCht3CguuDm7MM4d49LscLABcvAps2sTUtVIjrwRhoyNWhMOKaZHYSErpwIvAEJp+ZrNLRnoiw/f52HO1zFG1KpfVmHXM5wiWPCx6+f/hl7Nqra3gT8wZOuZ1UDKedtR26V+guStilaN6i6F2pNxZfWYwFrRZAJpdh1vlZWNZmWZrQyU+NfoJvqC/sbeyxst3KL+O7/XfjSMAR2FnbpZ7eILKnIQc44abNf/8JGjUCZs/mdmsXLnDo4fx5Ts3XtvKhrvz9N/Drr8CDB3yY+vPPXAddTEqVYoOdlMSfZeJEroI4eDB/rp49VQ99JSRMgI8JH3E37C5kJIOzrTMsBAtUL1Qdnk6eqFKoCi4EX8C9t/fQumRrte+/HXYbNdfXRFmXsl8MdHBUMBKSE1DauTTqFeWQ6stPL3E37C66lOsCC0tx4ueTG01G1bVVMbHBRJx5fgaOuR3V7rOgXUH80/sflFpZCgRCKedSkMll2HJ3C1a3Xy16zDz7GnIF4eHsuZ4+DcybxzW7r19nQ25nZxxDvncvl8zduJFj2Fevck1wmYxj82IxeDBQtSoX4fL1ZU982jTOWM2Xj9cfM0a89cwcTRmb6jCFc4Dsym7/3fjx+I9ws3fD84/PYSFYYPzJ8SAQ7G3sEZMYgymNpmg0dtVdq6NOkTqYWH8ivq7IwoVDjw+h2+5u2Nl9J6q5cUnovvv6olWDVrC2ZnZARQAAIABJREFU1L4z1oHHB7DjwQ4AXDjr2qtrX7JJPZ08YW9jjzzWefCVz1eISYxR640rcMztiDF1xuDXC79iS5ct2PlgJwrkKYAWni203o/WqNMkGvuRqbVWIiOJcuUiql+fKD5eOT53LpGNDZFMJv6aNWoQHT+uOnbpElHp0uKvtX49kaMjf5Y8eYgGDmSN+p49RB07GjS1KdcOyUifre3eM/PzSJpyJuZzDBVaVIhOBJ4g5wXOFPIxhJwXOFOhRYVowaUFZDXLimI/x6Y7x9GnR6ni6ookk/Pf76JLi8h5gTP53PMhIqJH7x9RwUUF6VPCJ532tvP+Tiq4qCDtuL+DfO75ULGlxaj1n63J0tuSttzeQicDT1LjTY3J0tuS6m2oR3K5PN35PsZ/pPwL89Pj94+pzMoydCrolE77SQ1yjI48NfnysY68eHGlJC8piVu+OTiwty42jx5x/8yUNGjAsXlZ2loRBlGzJld0/PiRH5s3szsZGmpwexp1umjFuDHQpfN8Rv06M3vv2iD1GGXsbOwwof4EbLq9Cd3Ld8c6v3UoZFcIrvaumHtxLgZUHYA8NnnSnaNtqbaws7HD3od7EZsYi8VXF2Nu87mYdWEWZHIZZl+YjXH1xsEhl4NOe+tRoQfy58kPZ1tn9K7cG0vbLMWDdw/Qr0o/DKg2AJUKVsKDdw8ws+nMdL1xBQqvvN32dsbzxgHDPHIAXwPwByAHUEvb92V69cMmTYiKFiWqV49o+HCiEiWIvvqKqEwZolu3xF+vevXM88jlcl5vyRL+mYgzRosVIzp/XvTljOlV6ptRacj8pvINI6eR0ivPOy8vuS12I6d5Tlp54woUXvnCSwupx+4eJJfLqf6G+jT93+l6eeMKdt7fSfU31Ce5XE4fYj+QpbclbfDbQEREY4+NpR+P/ajTfAqv/HTQab32kxIYqfrhAwDdAKwzcB7j0rcvS/TGjuUGDoMGAW/fch3wqlXFX2/KFK73snEjt1i7epVljlPUF8A3CEHgmHz37sCaNVyD/N49Pmht0kT05XKa9yhhHFJ65Y65HFGhQAVEfY5C/SL10/XGb4bexLqbbG4IhHex71j1UrYLrr++jpleM9HmrzaY12Kezt64gh4VemDWhVk49ewULodcRpPiTbDObx3al26PrXe3wn+kv07zOeZ2xMtxL5HbynhJeqLoyAVBOAdgIhFpJQ7P9MYSSUmctv/kCdC1K2d+njzJ8sPUIRCx2L2bjam/P1CmDDB5srgHnakh4oYXERFAnTpcWdHMMLbOWqpOaFrEJsaixIoSsBQsEZsYCzsbO5VGE+q4EHwBrf5shWVtlsHawhpPI57izps7uPzyMg72OoiWJVpi6dWlGF5ruF46bQW7HuzCgssLEBIVgqtDrqLb7m6wtbJFg2INsLztcr3nNRRNOvJMM+SCIAwDMAwA3N3dawYHBxu8rk4QcZPjCxe4ZG2vXpnT4lyRnSKRIcY25JqSmdQhqVYyB5/7PrC1ssWN1zdQxqUMBlUflOF7mm1thgFVB2BgtYEAgB33d2CV7ypcGnRJNFmfTC5DlbVVULdIXWzqvAl/3fsLQw4NwYm+J74kAykom79spvUY1duQC4JwGoC6/PWpRHTwv2vOIas8cpmMPeujR4E8eVirXbeuOHMrCAsDDh/mAlcdOwL584s7v5kjVranlPkooQ3nXpzDd4e+w+PRjyFAQKU1lbCi7Qq0KplOA3Q9eB75HM62znDM7Yh5F+fB+7w3SjqrNqJ59P4R9vfcj87lOou6tib0zuwkopbG2ZIIyGRcAOvlS457R0VxrHjiRI6Hi8EffwD/+x/Qvj2QnAyMHw+sXcvJNhIANHu52nq/CvStcWIqZQMkMgcvDy8UcyyGv+79hVyWueBs64yWJcQ3U55Ontj3aB/exb6DhWABKwsr9K/SH465HeGU2wlF8xZF33199W7wLCbmnRB06BCn4l+5Atj8Vwbz2285Db9PH8O7/gQGckbmzZvKlnD37/MBppcXJ+BIABCnGJS+RlcqRpXzmNF0BoYcGgIbSxusaLvC4JBKRHwEwuPC04xPPzsdeXPlRZVCVVDCqQS2398OJ1snhEaHwjOfJ6Y2nqpVCV5jY5AhFwShK4CVAAoAOCIIwh0iMn6pLwXHjvEBok2KX2SxYkCzZsC//3Ic3BB27+YbQsq+npUrcy2X/fu545CEhESm4+XhBXdHdyTKEkXxxnvs7oE7YXfgksfly1hCcgJCo0NR3bU61ny1Bm9j36Li7xXhYOOAr8t/DZ8HPhhQzYgCBh0wyJAT0X4A+0Xai+7Y26t348LD+TVDSUpSbZKswNaWqwxK6IQUApEQk21dtkFGMlEOOIfVHJamiuHs87PxNOIpbr+5jeOBx9GudDu08GyBE0EnkMc6T4beeKIsUW2zaGtLa9EPR827jO3t2+wdX7rEpVsBPpQcOpQlhrk09wDUev6OHYG7dwGX/+7UoaEcurlxQ7lmDkfbQ0pjHWZKh6QShiKTy1B5TWUsa7MMbUq1QVRCFEqtLIXLgy/jbthdLL66GNeGXEOjTY1wO+w2CtoVxNMfnmo05AnJCXBa4AQ5yVUqLybLk1GvaD1cHKS+dG9GZM8yttWrcyOFmjW5wuHHj0BQEIc9DDXiivkHDODuQQMHsoe+di1QtCjfLFq1Ar7/nrsS5XA0OUWpx52dJe9bwjRY77cekfHKr4jVXKth6D9DMbvZbIREhaBdqXYo41IGpZxLwfu8N6acmYKw2DDMaDoDpZxLpeuN57bKjc5lO6OmW01Majjpy3inHZ3QqoS46hrA3D1yBRERHBO3swNatFCNmYuBry9nT964wQeg3t7cUWjbNm5UcekS123JoWgbMjFW8o0UspHQh7KrysIznyeqFuLsbjnJ8bvv7yiatygiEiJwefBllHEpAwDY478H3/z9DTZ12qSV1h0A/N/5o8W2FggaEwQ7Gzv4hfqh085OCBoTpHeWpyaPPPtXPxSL8HCuMvjqlXJMLifq2pVo+fKs25eJItU1kTB1tt3ZRk02N/lSwVAml1GxpcXIapYV9dvXT+VamVxGy68up8TkRJ3W6LmnJy28tJCIiDr6dKQV11YYtGfk2OqHYnHjBlCrFlCkiHJMEFgZc/581u1LQkJCL3pX7o030W9w7sU5AMC+R/tQyL4QupTtgl+a/KJyrYVggR/r/ahTbXMA+KXJL1hydQkuBF+A3xs/DK05VKztq2DeMfLMpEABIDg4bcr9ixf8mkSGODlxCCR13Nycu+1JmC9WFlb4pckvmHl+Jpp6NIX3eW8saLkA7Uu313vOZ5HPkCRLUlmjpltNdPDpgDnN5xitcFb2iJFnBkRA7dpAt27ATz9xuv79+9xO7uBBfk3iC5KSRMIcSJYno8LqCmhVohV8Q31x/bvressZQ6JCUHx5cXjm81Tx3EM/hcLG0gavJ7w22JBnT9VKZiIIrIbp1Qv4/XfOGn31CliyRDLiatAl3V46rJTIKhReef8D/XGkzxGDNOnuju5oX7o9OpbpiBG1OFlQcaNY22GtUcvY5lxDHh0NbN0K+PkBHh5cL7xo0fTfU6wYcPkyl8ONjASqVVN2HTI33r4Fnj/nBs5GKAKmiwGWUuwlspLelXtDRjK0K2V4zZQZTWegx+4eGFRtEHJZ5cKO+zvgau+KZh7NRNipZnLmYWdYGGvPz53jeuQfPrBW/Pp17d5ftixQr555GvGkJC4tUK4cN2YuXRr48Ue1Leh0ab0mIWGuWFlYYWC1gaJkiNYpUgeVC1XG5jubkSxPxuwLszHTa6Zo5XU1kTM98jlzuJrh8hQF4hs0AH74gdUp2ZlZs/jQ9sULTmSKiOCKkYsWcfOLFEiesoSE7ii8cisLq0zxxoGcethZsiTwzz9AhQrKMZmM0/ADArKvCoWIY/tXr3JIRcHdu0DnzmzcU5BZB5bSwahEegz/ZzgevH+QZtzO2g5H+hxRKwk8+/wsboamtTGWFpb4rsZ3yJvLuB20vvL5CqeCTuH4t8fR3LO5aPNKh50psbPjdP6UxMWxMTfHcIm2KFq2Fy+uOu7pCbx7lzV7kpDIAGtLaxTIUwCTGihT3fc/3o+rr65qLD51JOAIDjw+gK7lun4ZC48Px5/3/kTPij2Nbsh/bfYr3OzdMsUbB5BDMzsXLiRq2ZIoLo6fy+VEEycSde+etfvKDBo3Jtq+XXVs/XqiNm3SXCp2V3snJ2V2Z8qHIKgfd3LSbx0J8yExOZGiEqLSPKI/R3+55mXUS3Je4EzvYt4REVGyLJnKrixLJwNPapw39FMoOc13ojfRb76MTTk9hYYdGma8D5MJQENmZ870yMeO5XCCpyc3iLh3j2ul/PNPVu/M+MybB3TpwuGV0FAOJT1/Dhw/bvSl04u5SyGUnMngQ4Ox68EuFWmenOSITYpF0JgglHAqgaJ5i6J3pd5YfGUxFrRagF3+u+CSxyXdOuRuDm7oX7U/Fl5eiKVtliI8Lhxr/dbi1rBbmfGxMh911t3Yjyz3yBUcO0Y0YwbRmTPslZsTcjnRrl1EX31F5OVFNH8+UXR0xu8j4m8kuXMTFS9O1KwZUaNGRHXrEsXEqFymyYPW11MW28OXMH+OPD1ClX6vRDK57MvYjvs7qN6Gel9qoBApvfI30W8y9MYVpPTKs4M3TqTZI8+ZhjwsjKh5cyJXV6JatYicnYnWrMnaPenK//5HVLkykY8P0fHjHBaqU4coPj799yUkEBUoQHTrlnJMLifq3Jlo2TKjblky5BKpkcvlVHt9bdrjv4eIOGxSflV5Oh5wPM21o46MoqprqlKDjQ1UjHx6/HjsR+q/vz85L3CmF5EvRN17ViAZ8pQ0a0Y0eTJR4n+VzJ48IXJ3Z8/cHAgJ4ZtPeLhyTC4natWKaNOm9N97+TKRut//wYNErVuLu89UZBdDLvY3lZxOSq9cnTeu4GXUS7KZbaOVN64g9FMo5f41d7bwxomkGLmSgADg8WPg5EnA6r+PX6YMN1levx5oLp5UyGhcvsx9SVNm5ggC8M03XIlxUDr1kh0cuBWeXA5YpMgH+/Ahx9ZU17VEgKSvF5d2pdph5rmZ2OO/B7POz8KyNsvUJtAUzVsUL8e9REE77Zuq58udDz/U+QElnEpg54OdKq9VLFARlQtVNnj/pkDOM+Tv33MpWqtUH93Dg18zBwoVAp49S1uJMSiIX0uPSpXYcq1eDYweze9/+xZYuBBYvNio29al/kpmIhnmrEUQBMz0momef/dEpYKV0Lpka43X6mLEASA0OhSLrixChzIdYGdt92X8UsgldCvfDSvardB73yaFOjfd2I8sDa3ExHBY4skT1fGBA4m8vbWfRy4n8vfnWHNysrh7zAiZjKhcOY5pK9a+fJkof/60n0sdAQFE5csTValC1LEjUb58RDNnGnfPJoyuIR9141K4xTDkcjl19OlI/z77V/S5e+zuQYsuL/ryPDwunJwXONOziGeir2VsoCG0kjMzO9esAebPB6ZMYU98507gyhWW5GlTSMTfH+jbl5OKbG2B+HhgwwagpWY5lOgEBfEeXr3iVPuoKK7K2KmTdu+Xy7lF3YcPXJ7A1dW4+zVhdM0sVTdurDZ2EvoTFBGEVn+2QkJyAt7GvkURhyIQBAEfEz7Cw9EDd7+/m9Vb1BkpszMl/2/vzKOrqq89/t0JkySEwVJkaBgEHhAB0ZAiYWwQGQJUrAXKgwooUIgMPqwQWIbRSkXkdQG2WBRIIjJGNAyWQQIWIw9BmYkBggwBAsiUNAlJ9vtj5xpIbkhu7j335J67P2vdRc7vnpyzz2Jl332/vz386U+ii3/wgcgpXbtKO9rSOPHsbOnT8uabwMiR8pe6cycwaBDw3Xcld1B0FY8/DiQmAklJwN27QJs2ReWih+HjA3TpYpx9ys9om15zCKweCAZjQc8FiDkcg3aPtcOLQS8ieFlwqeduegreGZE7w6efSrOt3bsfXB8/XrT3yEhTzFLKjqMRuSOOubhI/WHXV1zH8oPL8cmxT7Cw50I8G/0sQgNDsfPMTlz/83X4+viabZ7DFBeRO9XGlojeIaKTRHSYiOKIqIYz1/MIrl4FmjQput6kiWwaKh6HbRO28Ku4TdgbN4qq4bZ1pXwxvO1wJN9Ixq2sW+gU2AkbT2zEzG4zPdKJPwxn+5FvB/AEM7cBkARgmvMmlXM6dwa2bhU5w8alS8CKFTopyEOx55iZ1TFbgYq+FTGj8wzMSpiFfs37oY5fHbwa8qrZZrkcpxw5M/+LmXPyDxMBuEkgNpGWLaXla/fuQGwsEBYm3QTPnpV+5m+95Rnfl2/elM3Oc+fMtsQSFBfV29DBHOZhi8qjdkdh4XMLDYvG09LTcOanM0VeV9ON7yzqys3OkQDWFPcmEY0GMBoAAgMDXXhbE1i6VJz4tGlAVhYwZ45M2UlLA8LDZSTcsGFmW2kfZhkusWiRTAk6fRqoVw+oWlUyWQYMkMlBfn5l2qTz1o09e89m08ALa+Gan+5eKvpWRFTXKCzYtwCDggYZdp/2H7RH+r10VKtUUFh3N/sufMgHl6dcNuy+AErOIwewA8BRO68B950zHUAc8jdPS3qZXqLvCtLTmQMCmK9efXB9yxbmDh3Msak0rFol+eMXL8rx4MHMdepI24Ivv2QeOJA5NJQ5O7tMJfVWKcN3BbZn1hzz8kHmvUxDrz9vzzweumHoA2ujNo3iGTtnuOweKGuJPjM/NDmaiP4IIBxAWP6NvINbt4BKlYoOLm7aVGaClleWLRP5p149SZf897+lpW/z5kC7dsC6dUCnTsCmTQB+Z7a1lsBeJosX/aWUGypXqGzo9SNCItD0b01x8tpJtPhFC5z56QziTsbhh1d/MPS+gJPSChH1AvAGgK7MnOEakzyEOnWAGjWAPXskD93G+vWyIVpeSUsDbNLWvn1A794y/s3PTz6cqlcHnn9e3lNH7jTFSU21allbaioNyTeS7Y5jIxB6Ne2F6lWqm2BV2QmoHIBJHSZh7p65iBkYg7f2voVxweNQ6xHjN0Wc1cgXA6gMYHt+k5tEZh7rtFXuJCsL2LVLCn26dwcCSjEC6soVOX/+fGDwYGDGDKBtW8lmWb5cGlc5yurVEimfOCEbqpGRwJAhjl+nJLp1A9asAVq3lqh87Vpg716pULUVM506Jfq54jT2+rgQ2Xfu3saao2vwXuJ7DwyIyMnLwYYTG/D1qK/RoUEHp66/+shqpNxMKbLuX8kfESERhky2t0XlW3/Y6rZoHHDSkTNz05LPKsckJEhFZvPm4sheeglYvFhK3+1x7hzw8svAgQMiq9StC8yaJR8EMTFAcLBEsvbyzB/G6tXA9OnyIRAaKnLHqFHynqud+bRpco87d4CePWU6Ung4MG+eVLzu2SMZOFu2uPa+XkjNmuKwC/sL27q3MzZ4LBYmLsTbPd5GoxqNAADR30cjLSMNv67/a6evv+L7FbiTdQddGxZ8Yz5+7TgOph7EuPbj4Euuz16xReXPr3ker3d83S3ROAAvbJpl484daTK1fXvB2tGjspaUVPT8nBxpVPWXvzBnZUnjqrVrZUhDamrR8x3hiSeYdxVqFrRrl6wbwcWL0o89LEw2N5s0kcGZAQHSl33cOObatTnc/0uHN+l0Y+9BdPP34UTuiORXPnuFmZnv5d7jZn9r5rLGWQkpCdx4UWPOzsn+ea13TG9eun+pS65fHLcyb3HvmN58PeN6ySc7CHSwRCE+/ljGpBVm8mT7nQC3bpUJPIV55RUZs+YMPj4FQy5sZGfLujvo25d57lzpnGhr6L9+vf3nNRirfRCoI38419Kvca35tfjsT2d51XeruMtHXUo9/ac0/Gblb3j5weXMzJx4PpEbLGxgePaKkRTnyL2zaRYg0kLhjBNA1q5fL7p+/jwQFFR0PSgISE52zpaWLUVO6datYO2rr2TdHezdC6xcCTz6aMHab38r+n92tshIbkJ7g3sXj1Z9FGOfHovZCbPx1Y9f4R/h/3hAu56wdQIOXzlc5PeqVqyKuEFxJWaiRHWNwohNIzCszTDMSpiFyE6RhmevmIGzJfqey7PPAvHxDw6TyMwUrbt376Lnh4TIVKHMTDnOy5PjRYuA27ftO//SEhkpnRR37wbu3ZN/R41yXwMu26CK+/nxR9n4rVjRPTZYFEf7uHgjrz3zGtYdX4e61eqiW6NuD7zHzPCr5IeZ3Wb+/Gpfrz3SMtJQybfkAKNLwy5oVKMRJmydgCNXj2Bku5EGPYXJ2AvTjX6VC2mFWSSUxo2ZFyxgXrKE+cknmYcOLZAXCjNkiAxt3rZNimZq1JABzoMHi7a+aVPxv1sSsbHMQUEipwQFybG7ePdd5o4dC4qbbt5k7tOHedo099mQj01GsZK8opRM7OFYPpR6qMj6hVsXuObbNfnK3SvMzJybl8utl7bm+FPxpb52QkoCYyYM18bdAVQjL4bdu5nHjGEeMYI5Lk42MYsjO1um8gQGMvv7i6M7dkyc3iOPMPv6yofB11+7z35XkJvL/Prr8sH01FPy75gxsqnrZmxOu7TrivWJ2BzBU76YwszM64+t5+BlwQ7r6NHfR3u0Nm5DHbkr6d6d+fPPxQG2acMcFcWckcH8+OMS3deuXVAC70ncuMG8f3/RtgNuRB25UhhbVJ56J9XhaNxqFOfIvVcjdwYfHyA3V7RsHx8gKgqoUkXWevUCXngB+Ogjs610nJo1pRVv7dqmmgCopqwUUD+gPoa2Hoq+H/dF5QqV0adZH7NNKneoIy8Lv/+9jIY7fVqm0hPJ3E8/P6BVK6maPH/ebCs9ElvZemGF3NvL2b2dqZ2m4tjVY4jqGmVIRaan473ph84wcqRUc86eLfly/fpJtefmzfJ+fDwwcKC5Nio/462tda1E/YD6ODPxDOr61zXblHKJRuRloUIFKatft07K+0+fFimFCBgzRqLxP/zBbCs9Flen7Nly0wu/tEzes6hXrZ5G48VgbUe+ebP0EQkOBiZPBi5ccN21iYAOHYD9+4HRo6VXytCh0hExIUEGNShlQkevKYpjWNeRL1kik26GDJFGWL6+wDPPABcvuvY+FSoAkyYB334LHD8O/PWvRWd53b4tBTZ5ea69t1IuqFXL/jcIHemmuAtrauQZGZJJsm+fSB+ARM+5uVKJ+c477rEjPV0+TNavl43QKlXE0f9O+3xbCW0roJiNNSPykyel17bNidsYOFB6mriLl1+WfucpKcClS0B0tDj2wjakpABxccDBgzo6RlEUh7FmRP7YYyKh/Oc/0mfcxqlT4uDdQWoq8MUXsvHp5ydroaGipS9eLD/n5gLjxgEbNgAdOwJHjgANG8rx/Q2sFKewbZ7aW1cUK2DNiDwzUxpBhYSIrJGbK05y9mwZnmA0SUnA3LkipRTeYL0/x3zxYpkIlJICfPaZZL+0aQNERBhvowsp7xqxbp4qVsd6jjwuThx4t25SdTl4sMyh7NEDmDkTCAsz9v6LFsnw4rw88RShoVI8ZCM+XrJoAGDFCnH4/v5y7OMjx/Hx0mbXQ9D0PkUxF2tJKykpwPDhEtFGRAD160tEPGCASBgjDW5hmZwsI9MOHZL5lw0byvi2N9+UDdjMTNHJExPl/Nu3i5bD+/tL69iMDKBaNWPttRhmFf6odKOYjXUi8uhoKZevUkU2Flu3Bv7+d3Gor73mnhmUn34KvPhiwRDjHj1kMn12tsg6774LvPGGOHgAeO454MMPH7zGpk3y/i9/aby9FsOsbwYq3ShmY42I/NIlYOJEYNkySe9buVIGJYSEiDPNyAAqu2EqiI9PQa54VpZ8E3j/fWDnTqBxY2moFRYm/7ZoAcyYITLM5cuydviwOPaNGzV3TVGUUmONiHzjRnGagwaJXLFxo0yyHzJEIvX33nNPyfzAgVK2f/YssG2bpD8+/TSwdq10RGzdWuSdVavk/Hr1pJCobVvg88/FeX/zDdC5s/G2KopiGawRkefkyFxJX19gzZqCSDg1VXTz8eOBvn2Nt6NRI9HIg4NF5rlwQRz5nDnywQJIamRSUsHv1KwJTJlivG0GohqxopiLNSLy/v0lCr94Ufppnz4t2Srnz0uEPH+++6SKsWNls7N7d/kg2b5dNloB+cCJjQV69nSPLW6iPGnE9lIhbeuKYlWcisiJaA6AAQDyAFwF8BIzX3KFYQ7RpAkwdapEv8OGSWQeHS2bnPYGKRtNYKCkOgLSu3zyZMlAWbZM8tv79XO/TV5AzZrFZ61oKqRiZYidKAknogBmvp3/8wQArZh5bEm/FxwczAcOHCjzfYvl2DGJwPPyRK9+8knX38NRduwAYmKkyjQ8XL4p6GR6wyAqvu+Jdj9QPB0i+paZgwuvOxWR25x4Pn4AzP1TCQqSV3miRw95KYqiGITTm51ENA/AcAC3AHR/yHmjAYwGgMDAQGdvqyiKouRTorRCRDsAPGbnrenMvOm+86YBqMLMUSXd1DBpRfF6VFpRrEyZpRVmLq0u8DGAzQBKdOSKYhSaCql4I85mrTRj5h/yD/sDOOm8SYpSdrQsXvFGnNXI3yai/4KkH54DUGLGiqIoiuJanM1aecFVhiiKoihlwxqVnYqiKF6MOnJFURQPRx25oiiKh6OOXFEUxcNxqtdKmW9KlAbJcvE0fgHgmtlGuBlve2Zve17A+57Zk5+3ITPXLrxoiiP3VIjogL2qKivjbc/sbc8LeN8zW/F5VVpRFEXxcNSRK4qieDjqyB1jmdkGmIC3PbO3PS/gfc9suedVjVxRFMXD0YhcURTFw1FHriiK4uGoI3cQInqHiE4S0WEiiiOiGmbbZARE1IuIThFRMhFNNdseoyGiXxHRl0R0goiOEdFEs21yB0TkS0SHiCjebFvcARHVIKL1+X/DJ4joGbNtcgXqyB1nO4AnmLkNgCQA00y2x+UQkS+AJQB6A2j+opIGAAACHklEQVQFYAgRtTLXKsPJAfA/zNwSQAcA473gmQFgIoATZhvhRv4XwDZmbgGgLSzy7OrIHYSZ/8XMOfmHiQAamGmPQYQASGbmM8ycDeATAANMtslQmDmVmQ/m/3wH8gde31yrjIWIGgDoC+CfZtviDogoAEAXAMsBgJmzmfmmuVa5BnXkzjESwFazjTCA+gDO33d8ARZ3avdDRI0AtAPwjbmWGM4iAH+GDIbxBpoASAPwUb6c9E8i8jPbKFegjtwORLSDiI7aeQ2475zpkK/jseZZahh2pl7CK/JUicgfwAYAk5j5ttn2GAURhQO4yszfmm2LG6kA4CkA7zNzOwDpACyx/+PsqDdLUtLAaSL6I4BwAGFszUT8CwB+dd9xAwCXTLLFbRBRRYgTj2XmjWbbYzChAPoTUR8AVQAEEFEMM/+3yXYZyQUAF5jZ9k1rPSziyDUidxAi6gXgDQD9mTnDbHsM4v8ANCOixkRUCcBgAJ+ZbJOhEBFBtNMTzLzQbHuMhpmnMXMDZm4E+f/dZXEnDma+DOB8/pxhAAgDcNxEk1yGRuSOsxhAZQDb5W8ficxsqaHTzJxDRBEAvgDgC+BDZj5msllGEwpgGIAjRPRd/lokM28x0SbF9bwKIDY/QDkDYITJ9rgELdFXFEXxcFRaURRF8XDUkSuKong46sgVRVE8HHXkiqIoHo46ckVRFA9HHbmiKIqHo45cURTFw/l/2Zvc0NFGWKcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 14 / 20 总距离： 408.4822073750181\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "总迭代轮次： 15 / 20 总距离： 408.4822073750181\n"
     ]
    }
   ],
   "source": [
    "epoch = 20\n",
    "fit_kmeans(dataset_predict, dists, epoch)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
